Question

The present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?

Answer 1

Step-by-step explanation:

let the sum of the daughter's and the father's age be 'x'

let the mother's age be 'y'

therefore their average age = x+y= 35

3

therefore, x + y= 105 ----(1)

now, 15+y=x

therefore x-y = 15-----------(2)

adding 2 and 1 we get

so, x+y=105

x-y =15

__________________

2x=120

therefore x=60

putting x=60 in equation (1)when we get,

y=105-60

y=45

so the Ans is 45