Question

The sum of the ages of two brothers is 31years and the difference of their ages is 5 years.find their present ages.​

Answer 1

13 years

18 years

Explanation:

Let the age of the two brothers be x and y years.

According to the first condition:

x + y = 31.....(1)

According to the first condition:

x - y = 5.....(2)

Adding equations (1) & (2)

x + y = 31

x - y = 5

_______

2x = 36

x =36/2

x = 18 years

Plug x = 18 in equation (1)

18 + y = 31

y = 31 - 18

y = 13 years

Verification:

13 + 18 = 31

18 - 13 = 5