SOLUTION: Ron’s age is 2.5 times the sum of Billy and Matt’s age. Ron is 35 years old, and Billy is 5 years old. Write and solve an equation to show the age of Matt.

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Question 1132806: Ron’s age is 2.5 times the sum of Billy and Matt’s age. Ron is 35 years old, and Billy is 5 years old. Write and solve an equation to show the age of Matt.
Found 3 solutions by stanbon, josgarithmetic, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
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Ron’s age is 2.5 times the sum of Billy and Matt’s age. Ron is 35 years old, and Billy is 5 years old. Write and solve an equation to show the age of Matt.
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R = 2.5(B + M)
R = 35 and B = 5
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35 = 2.5(5 + M)
14 = 5+M
Matt = 9 yrs old
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Cheers,
Stan H.
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Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
PERSON    AGE
Ron        35
Billy       5
Matt       m

highlight_green%282.5%285%2Bm%29=35%29

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
An equation is


    35 = 2.5*(5 + M).


where M is unknown Matt's age.


To get the solution, first divide both sides of this equation by 2.5:


    35%2F2.5 = 5 + M,   or

    14 = 5 + M.


Next move "5" from the right side to the left, changing the sign.


Thus you get the solution M = 14 - 5 = 9.


ANSWER.  Matt is 9 years old.