Question

The sum of Umar's age and his father's age is 46.

Three years ago, Umar's father's age was 7 times
Umar's age. How old is Umar now?​

Answer 1

Umar is 8 years old now.

Explanation:

Let the Umar's present age be x and his father's present age be y.

x + y = 46 ...... (sum of their ages)

y = 46 - x

Now since 3 years ago both of their ages would be reduced by three years therefore,

Three years ago Umar's age = (x - 3)

Three years ago his father's age = (y - 3)

According to question,

(y - 3) = 7 (x - 3)

Further solving,

y - 3 = 7x - 21

Now substituting the value of y,

(46 - x) - 3 = 7x - 21

43 - x = 7x - 21

7x + x = 43 + 21

8x = 64

x = 64/ x = 8 years

So the Umar's present age is 8 years.