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

Question

3 years ago

6

come will be 117 years. How old is Charity today?

1 answer:

zubka84 [21] · Answer 1 · 2022-04-17T23:08:56+03:00

Answer: Charity is 36 years old today.

Step-by-step 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.