SOLUTION: i need help with this question plz :) - one number is 8 more than another number. If the larger is divided by the smaller, the quotient is 2 and the remainder is 1. Find the number

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Question 791906: i need help with this question plz :) - one number is 8 more than another number. If the larger is divided by the smaller, the quotient is 2 and the remainder is 1. Find the numbers . PLEASEEE HELP ASAP !!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two numbers, a & b, write an equation for each statement:
:
one number is 8 more than another number.
a = b + 8
:
If the larger is divided by the smaller, the quotient is 2 and the remainder is 1.
%28a-1%29%2Fb = 2
Replace a with (b+8), from the 1st equation
%28%28b%2B8%29-1%29%2Fb = 2
%28%28b%2B7%29%29%2Fb = 2
multiply both sides by b
b + 7 = 2b
7 = 2b - b
b = 7
then
a = 7 + 8
a = 15
:
You can confirm this in the 2nd statemet
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Solution put into words
When 15 is divided by 7, the quotient is 2, the remainder is 1