Question

Five years from now, the sum of the ages of a women and her daughter will be 40 years. The difference in their present age is 24 years. How old is her Daughter now?

Answer 1

Daughter age = 3 years

Explanation:

Let x be the age of the women and y be the age of the daughter.

Given:

After five year the sum of the women and daughter age = 40

`(x+5)+(y+5)=40`

At present the sum of the women and daughter age

`x+5+y+5=40`

`x+y+10=40`

`x+y=40-10`

`x+y=30`--------------(1)

So the sum of the present age is
`x+y=30`

The difference in their present age is 24 years.

`x-y=24`

`x=24+y`

Now we substitute x value in equation 1.

`(24+y)+y=30`

`24+2y=30`

`2y=30-24`

`2y=6`

`y=(6)/(2)`

`y=3\ years`

Therefore, the daughter age is 3 years.