SOLUTION: A mother is 12 years older than triple the age of her daughter. The sum of their ages is 36. What are their ages?

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Question 1172943: A mother is 12 years older than triple the age of her daughter. The sum of their ages is 36. What are their ages?
Found 2 solutions by ewatrrr, VFBundy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Previously Posted

A mother is 12 years older than triple the age of her daughter.

The sum of their ages is 36.

Let x represent the daughter's age

Then... Write as You Read

Mother's age is (3x+12)

And

x + (3x + 12) = 36

4x + 12 = 36

Solve:

4x = 24

x = 6     the daughter's age

Mother is 3%2A6+%2B12 = 30

Checking our Answer:

6 + 30 = 36  Checks!

Wish You the Best in your Studies.

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Daughter's age = d
Mother's age = 3d + 12

(d) + (3d + 12) = 36

d + 3d + 12 = 36

4d + 12 = 36

4d = 24

d = 6

Daughter's age = d = 6
Mother's age = 3d + 12 = 3(6) + 12 = 18 + 12 = 30