Question : Directions: The present ages of Ankur and his sister are in the ratio of 4:3. After 6 years, the ratio of Ankur's sister and brother will be 3:2. If the present age of his brother is 32 years, what will be the age (in years) of Ankur after 3 years?
Option 1: 71
Option 2: 68
Option 3: 70
Option 4: 65
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Correct Answer: 71
Solution :
Given:
The present age of Ankur's brother is 32 years.
⇒ His age 6 years later = 38 years
But, after 6 years the ratio of ages of Ankur's sister and brother will be 3:2.
After 6 years, Ankur's sister's age = 3A, Ankur's brother's age = 2A
⇒ 2A = 38
⇒ A = 38 ÷ 2 = 19
⇒ Ankur's sister's age 6 years later = 57 years
⇒ Ankur's sister's present age→57 – 6 = 51 years
But, the present ages of Ankur and his sister are in the ratio of 4:3.
Ankur's sister's present age = 3A, Ankur's present age = 4A
⇒ Ankur's sister's present age→57 – 6 = 51 years
⇒ 3A = 51
⇒ A = 51 ÷ 3 = 17
⇒ Ankur's present age = 4 × 17 = 68 years
Ankur's age after 3 years will be 71 years. Hence, the first option is correct.
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