Number Problems?

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The difference of two positive numbers is 8 and their quotient is 5/7. Find the two numbers.

Please show me step by step.

2007-05-28 09:42:14 · 3 answers · asked by fbithejames 2 in Science & Mathematics ➔ Mathematics

3 answers

Larger number is n and the smaller number is n-8.

(n-8)/n = 5/7 Cross multiply.
7n-56=5n Simplify.
2n=56 Divide by 2.
n=28
n-8=20

The two numbers are 28 and 20.
Check by reducing 20/28 to see if it is equal to 5/7 ... which it is.

2007-05-28 09:50:50 · answer #1 · answered by ecolink 7 · 0⤊ 0⤋

28 and 20
Just multiply 5 and 7 by the same number until the larger one is bigger by 8, in this case, multiply by 4

2007-05-28 16:55:13 · answer #2 · answered by Mike 2 · 0⤊ 0⤋

do your own math!! i'm thinking 500 and 3. do the work yourself.

2007-05-28 16:49:48 · answer #3 · answered by Ashley 3 · 0⤊ 1⤋