Question

Three years ago, Raman was four times as old as his son.
If the total of their ages after 5 years from now will be
66 years, what is Raman's present age?
1) 45 yrs
2) 48yrs 3) 40yrs​

Answer 1

Answer:

Let Raman’s age be x (For the sake of convenience)

Let Raman’s son’s age be y (For the sake of convenience again!)

Thus, three years ago their ages would be 3 years less.

Which means three years ago their ages would have been (x-3) and (y-3)

According to the question, (x−3)=4(y−3)

Solving the equation further,

x−3=4y−12

x=4y−12+3

x=4y−9 {Let this be equation I}

Also, there ages 5 years hence would be (x+5) and (y+5)

According to the question, (x+5)+(y+5)=66

Solving the equation further,

x+5+y+5=66

x+y+10=66

x=66–10−y

x=56−y {Let this be equation II}

From equation I and II,

x=4y−9andalsox=56−y

Therefore, 4y−9=56−y

Solving the equation further,

4y+y=56+9

5y=65

y=65/5=13

Thus the son’s age is 13 years.

Now substituting y in equation II, x=56−13=43

Thus x = 43 which means that Raman is 43 years old.

Step-by-step explanation:

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