Question

Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to come will be 117 years. How old is Charity today? ​

Answer 1

Answer: Charity is 36 years old today.

Explanation:

Let x = Present age of daughter.

Age of Charity = 4x

Age of her husband = 4x+6

After 10 years,

Age of daughter = x+10

Age of Charity = 4x+10

Age of her husband = 4x+6+10=4x+16

As per given,

`x+10+4x+10+4x+16=117`

`9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9`

Present age of Charity = 4(9)=36 years

Hence, Charity is 36 years old today.