# What will be the age of Jais and his father after 12 years from now?

Jais and his father has an age difference of 35 years now. After 5 years, the sum of their age is 125. What will be the age of Jais and his father after 12 years from now?

1. 40 & 75
2. 45 & 70
3. 51 & 85
4. 52 & 87
Anurag Mishra Professor Asked on 8th December 2015 in

Explanation:-
Let the present age of Jais be X years  and the age of his father be Y years.

Jais and his father has an age difference of 35 years now.
Then,   Y – X = 35   …………………. (1)

After 5 years, the sum of their age is 125.
(X + 5) + (Y + 5) = 125
X + Y + 10 = 125
X + Y = 125 – 10
X + Y = 115  ………………………… (2)

Y – X + X + Y = 35 + 115
2 Y = 150
Y = 150/2
Y = 75 years

Now, put the value of Y = 75 in equation (2),
Then, X + 75 = 115
X = 115 – 75
X = 40 years

So, the age of Jais after 12 years = 40 + 12 = 52 years  and the age of his father after 12 years = 75 + 12 = 87 years.

Hence, the correct answer is option (4) 52, 87.

Anurag Mishra Professor Answered on 9th December 2015.