SOLUTION: A mother is 15 years older than her son. The mother's age is 5 years more than twice her son's age. How old are they now?

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Question 1196617: A mother is 15 years older than her son. The mother's age is 5 years more than twice her son's age. How old are they now?
Found 2 solutions by ewatrrr, josgarithmetic:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
A mother is 15 years older than her son (Let x = son's age)
mother x+15
Question States:
The mother's age is 5 years more than twice her son's age.
x+15 = 2x+5
10 = x, the son's age, mother is 25
Checking our work
25 = 2*10 + 5  checks
h You the Best in your Studies.


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Mother is A years older than her son. Mother's age is K years more than T times her son's age.
How old are they?

Mother, x+A
Son, x

x%2BA=K%2BTx
-
x-Tx=K-A
x%281-T%29=K-A
x=%28K-A%29%2F%281-T%29
x=%28%28-1%29%2F%28-1%29%29%28%28K-A%29%2F%281-T%29%29

highlight_green%28x=%28A-K%29%2F%28T-1%29%29-----------this one will work no matter what the given values.


Your example:
A=15
K=5
T=2
x, the son's age
X+A, mother's age











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Son is 10
Mother is 25