🎴 Flashcard Mode

More on proportion - class-X

Card1 / 48
Mastered0
Review0
QuestionClick to flip

Solve it:-
$a:b$=$5:8$ +$b:c$=$16:25$
Find  $a:c.$

AnswerClick to flip back
A
$6:625$
💡 Explanation:

$\dfrac{a}{b}=\dfrac58+\dfrac bc=\dfrac{16}{25}$


Hence, $a=\dfrac{16}{25}b\\dfrac bc=\dfrac{16}{25}-\dfrac58\Rightarrow c=\dfrac{b258}{3}$

Now, $a:c=\dfrac ac=\dfrac{\dfrac{16}{25}b}{\dfrac{b\times25\times8}{3}}=\dfrac{6}{625}$

Change Mode