The sum of Debbie and Joan’s present ages is 59 years. In 5 years, twice Debbie’s age will be equal to Joan’s age. Determine their ages.

Question

asked Sep 14, 2022 12.9k views

1 Answer

WebHQ · Answer 1 · 2022-09-21T01:09:48+0000

Answer: D-18 years, Joan-41 years

Explanation:

Given

The Sum of Debbie and Joan's age is 59

Take x and y as the age of Debbie and Joan

In 5 years, twice Debbie's age will be equal to Joan's age

$\Rightarrow 2(x+5)=y+5$

$\Rightarrow 2x+10=y+5\\\Rightarrow 2x-y=-5$

Also,
x+y=59

solving these two equations we get

$\Rightarrow x=18;y=41$