QID : 10 - Present ages of Ankur and his sister are in the ratio of 4 : 3. After 6 years ratio of ages of Ankur’s sister and his brother will be 3 : 2. If the present age of his brother is 32 years, then after 3 years what will be the age (in years) of Ankur?
Answers
let say they ages was 4x and 3x
4x+6/3x+6=3/2 and solve get it 24
After 3 years the age (in years) of Ankur will be 71 years.
Step-by-step explanation:
The ratio of the present ages of Ankur and his sister = 4:3
So, let’s assume the present age of Ankur be “4x” years and that of his sister be “3x” years.
The present age of Ankur’s brother is given as = 32 years
Also given that,
The ratio of the ages after 6 years of Ankur’s sister and his brother = 3:2
So, we can write the eq. as,
[3x+6]/[32+6] = 3/2
⇒ [3x+6] / 38 = 3/2
⇒ 2*[3x+6] = 3*38
⇒ 6x + 12 = 114
⇒ 6x = 102
⇒ x = 17
Therefore,
The present age of Ankur will be = 4x = 4 * 17 = 68 years
Thus,
After 3 years, Ankur’s age will be = 68+3 = 71 years
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