Question

An older person is 7 years older than five times the age of a younger person. The sum of their ages is 37. Find their ages.

Answer 1

older person: 32 yrs younger person: 5 yrs

Explanation:

older person age: o

younger person age: y

o=5y+7

o+y=37

Solve with substitution:

5y+7+y=37

6y+7=37

6y=30

y=5

Plug back in:

o+5=37

o=32