SOLUTION: One number is 7 more than another, if twice the larger is added to 8,the result is 5 less than 5 times the smaller, find the numbers

Question 947369: One number is 7 more than another, if twice the larger is added to 8,the result is 5 less than 5 times the smaller, find the numbers
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two numbers; a & b
write an equation for each statement
:
"One number is 7 more than another,"
a = b + 7
" if twice the larger is added to 8,the result is 5 less than 5 times the smaller,"
2a + 8 = 5b - 5
2a = 5b - 5 - 8
2a = 5b - 13
replace a with (b+7), from the 1st statement
2(b+7) = 5b - 13
2b + 14 = 5b - 13
Collect like terms in a manner to keep things positive
14 + 13 = 5b - 2b
27 = 3b
b = 27/3
b = 9 is the smaller number
:
I'll let you find a, check your solutions in the 2nd statement.

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