SOLUTION: michelle's age is 10 years less than 5 times sarah's age. If the sum of their age is 44 years, find their ages.

Question 547856: michelle's age is 10 years less than 5 times sarah's age. If the sum of their age is 44 years, find their ages.
Found 2 solutions by mathie123, JBarnum:
Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
Let M be michells age and S be sarah's age. From the question we can make up two equations:
(1)
(2)
This is just a system of equations with two unknowns
Substituting (1) into (2) we get

Now substituting this value back into (1) we get:

So Michelle is 35 and Sarah is 9. Hopefully this helps:)

Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
given
m=5s-10
m+s=44
substitution
5s-10+s=44
6s=54
s=9
substitution
m=45-10
m=35
m=michelle
s=sarah
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