SOLUTION: Joan is 10 years older than Michele one half on Michele's age is equal to one fourth of Joan's age how old is Joan and michele

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Question 981522: Joan is 10 years older than Michele
one half on Michele's age is equal to one fourth of Joan's age
how old is Joan and michele
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
You're missing punctuation in your question, so I'm making some assumptions.
J = M + 10
.5 M = .25J
Substitute the known value of J from the first equation into the second.
.5M = .25(M+10)
.5M = .25M + 2.5
.25M = 2.5
Multiply each side by 4 to get a whole M
1M = 10
Let's check.
If Michelle is 10, then Joan is 10 years older than that, or 20.
Is 1/4 of 20 the same as 1/2 of 10?
5 = 5
Success.
Michelle is 10 and Joan is 20.