Tag: further equations

Quizzes (0) Questions (48)

Questions Related to further equations

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

In a caravan  in addition to 50 hens there are 45 goats and 8 camels with some keepers.  If the total number of feet be 224 more then the number of heads in the caravan, find the number of keepers

  1. 5

  2. 8

  3. 10

  4. 15
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

If the number of keepers be x  then total number of feet = $2  \times 50 + 4   \times 45 + 4 \times  8 + 2x$
$=2x + 312$
Total number of heads = $50 + 45 + 8 + x$
$=103 + x$
$\displaystyle \therefore 2x+312=103+x+224$ or$x = 15$

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

Solve $1.32y + 0.02y = 1.19 + y$.

  1. $-\dfrac{7}{2}$
  2. $3\dfrac{1}{2}$
  3. $\dfrac{7}{4}$
  4. $-3\dfrac{1}{4}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$1.32y+0.02y=1.19+y$

$\Rightarrow 1.34y=1.19+y$
$\Rightarrow 0.34y=1.19$
$\Rightarrow y= \dfrac {1.19}{0.34}$

$\Rightarrow y= \dfrac {119}{34}$

$\Rightarrow$ $ y= \dfrac {7}{2}$ $= 3 \dfrac{1}{2}$

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family?

  1. $2$
  2. $3$
  3. $4$
  4. $5$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let $d$ and $s$ represent the number of daughters and sons respectively.
Then, we have :
$d - 1 = s$ and $2 \left(s - 1\right) = d$.
Solving these two equations, we get: $d = 4$, $s = 3$.

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

A number consists of two digits whose sum is $9$. If $27$ is added to the number, its digits are interchanged. Are the given steps to find the number true?
Step $1$: Let the unit's digit be x
Step $2$: Then, ten's digit $=(9-x)$
$\therefore$ number $=10\times (9-x)+x\Rightarrow 90-10x+x=(90-9x)$
Step $3$: Adding $27$ to the number $90-9x$ we get $117-9x$
Step $4$: Number with digits interchanged is $10x+(9-x)=9x+9$
Step $5$: $117-9x=9x+9$ 
Step $6$: Therefore unit's digit$=6$ and ten's digit $=3$
Step $7$: Hence the number $=36$.

  1. Yes

  2. No

  3. Cannot say
  4. Only step $1$ and $2$ are correct
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

All the given steps to find that unknown number are True.
Hence the option A is the correct answer.

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

When a number is reduced by $4$, it becomes $80\%$ of itself. Find the number.

  1. $20$
  2. $30$
  3. $40$
  4. $50$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Let the Number be $X$
Number is reduced by $4$ i.e. $X-4$.
Now number becomes $80 \% $ of itself
$X-4 =  80\%  $ of $X$
$ \Rightarrow X-4 = \dfrac{80}{100}\times X$
$ \Rightarrow X-4 = 0.8 X$
$ \Rightarrow 0.2X=4 $
$ \Rightarrow X=20 $
The number is $20$.
Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

A number is multiplied by $2\displaystyle\frac{1}{3}$ times itself and then $61$ is subtracted from the product obtained. If the final result is $9200$, then the number is __________.

  1. $36$
  2. $63$
  3. $67$
  4. $37$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number is $x$

According to given question, we have
$ x\times \dfrac{7x}{3} -61 = 9200$

$\Rightarrow \dfrac{7x^2}{3}=9261$
$\Rightarrow x^2=9261\times  \dfrac{3}{7}$
$\Rightarrow x^2 =3969$
$\Rightarrow x=\sqrt{3969}$
$\Rightarrow x=63$

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

The two consecutive multiples of $3$ whose sum is $51$ are __________.

  1. $24, 27$
  2. $20, 31$
  3. $40, 11$
  4. $25, 26$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Lets say $x$ is the multiple of $3$

Next consecutive multiple of $3$ will be $(x+3)$
Given sum is $=51$
$\Rightarrow x+x+3=51$
$\Rightarrow  2x=48$
$\Rightarrow x=24$
Two consecutive multiples of $3$ are $24,27$.

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

$\displaystyle\left(\displaystyle\frac{2}{3}\right)^{rd}$ of a number when multiplied by $\displaystyle\frac{3}{4}$ of the same number make $338$. The number is ___________.

  1. $18$
  2. $24$
  3. $36$
  4. $26$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the number is $x$

Thus according to given problem, we have
$\dfrac{2}{3} x\times  \dfrac{3}{4} x= 338$
$x^2=338\times 2$
$x^2= 676=26^2$
$x=26$
Therefore, the number is $26$.

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

A number is multiplied by half of itself and then $32$ is added to the product, if the final result is $130$, then find the original number.

  1. $4$
  2. $7$
  3. $5$
  4. $14$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the number be $x$

According to given question, we have
$x\times  \dfrac{x}{2} +32=130$

$\Rightarrow \dfrac{x^2}{2}=98$
$\Rightarrow x^2=196$
$\Rightarrow x=14$

Therefore, the number is $14$.