SOLUTION: joseph is five years older than timothy. Timothy is seven years younger than Mathew. Write the names from smallest to the big one

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Question 1185077: joseph is five years older than timothy. Timothy is seven years younger than Mathew. Write the names from smallest to the big one
Found 3 solutions by MathLover1, ikleyn, josgarithmetic:
Answer by MathLover1(20850)   (Show Source):
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. Timothy is seven years younger than Mathew. Write the names from smallest to the big one
let Joseph’s age be , Timothy’s age be , and Mathew’s age be

if Joseph is five years older than Timothy, then Timothy is five years younger so we have
..eq.1
if Timothy is seven years younger than Mathew, we have
...eq.2 ->Timothy is years younger than Mathew
=>

->Joseph is year younger than Mathew
=>the names from smallest to the big one:
Timothy, Joseph, Mathew

Answer by ikleyn(52782)   (Show Source):
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.
Joseph is five years older than Timothy.
Timothy is seven years younger than Mathew.
Write the names from smallest to the big one
~~~~~~~~~~~~~~

            @MathLover1 chose the most complicated and convoluted/confused way to present the solution.

            I will choose the most simple and straightforward way.

Let Timothy be "t" years old. Then Joseph is (t+5) years old and Mathew is (t+7) years old, according to the condition. The numbers follow in this ascending order t, t+5, t+7. Hence, the names ordering is this: Timothy, Joseph, Mathew, from youngest to oldest.

Answer by josgarithmetic(39617)   (Show Source):
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PERSON AGE Joseph (m-7)+5 Timothy m-7 Mathew m

"Write the names from smallest to the big one"
-----very poor task or question. "Write the names from youngest to oldest" is what you want.

PERSON AGE simplified Joseph (m-7)+5 m-2 Timothy m-7 m-7 Mathew m m