Asked by Anonymous
One-third of Matthew's age is 22 years less than his age 18 years ago. How old is Matthew?
Answers
Answered by
mathhelper
Matthew's present age ---- x
(1/3)x = (x-18) - 22
x/3 = x - 40
times 3
x = 3x - 120
2x = 120
x = 6
So Matthew is presently 60
check
1/3 of his age is 20
18 years ago he was 42
and sure enought, 20 is 22 less than 42
(1/3)x = (x-18) - 22
x/3 = x - 40
times 3
x = 3x - 120
2x = 120
x = 6
So Matthew is presently 60
check
1/3 of his age is 20
18 years ago he was 42
and sure enought, 20 is 22 less than 42
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