3 years ago, the ratio of Maya’s and Shika’s age was 5 : 9 respectively. After 5 years, this ratio would become 3 : 5. Find the present age of Maya?
A40
B43
C45
D53
Answer:
B. 43
Read Explanation:
3 years ago, ratio of Maya’s and Shika’s age was = 5x : 9x
According to the question
(5x + 8) / (9x + 8) = 3/5
= 5 × (5x + 8) = 3 × (9x + 8)
=25x + 40 = 27x + 24
= 27x – 25x = 40 – 24
⇒ 2x = 16
⇒ x = 16/2
⇒ x = 8
3 years ago age of Maya = 5 × 8 = 40
Present age of Maya = 40 + 3 = 43 years