The ratio of Paul’s age to Luis’s age is 2:3. The sum of their ages is 35 years. Find the age of each one.

Question

asked Jan 21, 2019 219k views

2 Answers

Dapeng · Answer 1 · 2019-01-28T10:29:12+0000

Let the ratio be x

So Paul's age = 2x

and Luis's age = 3x

The sum of their ages is 35 years

So, 2x + 3x = 35

5x = 35 (add the like terms)

To find x, divide both side by 5

(5x)/(5)= (35)/(5)

x = 7

Paul's age = 2x = 2(7) = 14 yrs

Luis's age = 3x = 3(7) = 21 yrs

So age of Paul's is 14 yrs and age of Luis's is 21 yrs.