Problems on Ages Questions

Multiple choice
  1. $\text{sarla age}=31,$ $\text{shreya age}=12$
  2. $\text{sarla age}=12,$  $\text{shreya age}=34$
  3. $\text{sarla age}=12,$  $\text{shreya age}=31$
  4. $\text{sarla age}=15,$  $\text{shreya age}=34$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

S = 2K + 7. (S+3) = (K+3) + 19 => S = K + 19. 2K + 7 = K + 19 => K = 12. S = 12 + 19 = 31.

Multiple choice
  1. $14$ yrs.
  2. $16$ yrs.
  3. $11$ yrs.
  4. $13$ yrs.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Shyam's 8th birthday was 3 years ago, so he is 8 + 3 = 11. In 10 years, Shyam will be 21. Father's age in 10 years = 2(21) + 12 = 54. Father's current age = 54 - 10 = 44. Ram's age = 1/3 * 44 = 14.66. The answer 14 is the closest integer.

Multiple choice
  1. Present age of father is $60$ years and present age of son is $20$ years
  2. Present age of father is $35$ years and present age of son is $15$ years
  3. Present age of father is $65$ years and present age of son is $25$ years
  4. Present age of father is $50$ years and present age of son is $15$ years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let F and S be current ages. (F-5) = 3(S-5) => F = 3S - 10. (F+5) = 2(S+5) => F = 2S + 5. Equating: 3S - 10 = 2S + 5 => S = 15. Then F = 2(15) + 5 = 35.

Multiple choice
  1. $55$ years, $24$ years
  2. $34$ years, $12$ years
  3. $48$ years, $19$ years
  4. $42$ years, $18$ years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let F, S be present ages. (F-10) = 12(S-10) => F-10 = 12S - 120 => F = 12S - 110. (F+10) = 2(S+10) => F+10 = 2S + 20 => F = 2S + 10. 12S - 110 = 2S + 10 => 10S = 120 => S = 12. F = 2(12) + 10 = 34.

Multiple choice
  1. Present age of $A = 29$ years and that of $B = 11$ years
  2. Present age of $A = 25$ years and that of $B = 10$ years
  3. Present age of $A = 65$ years and that of $B = 20$ years
  4. Present age of $A = 40$ years and that of $B = 10$ years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A and B be current ages. (A-5) = 4(B-5) => A - 4B = -15. (A+5) = 2(B+5) => A - 2B = 5. Subtracting equations: 2B = 20, so B = 10. Then A = 25.