SOLUTION: the sum of 2 numbers is 7 times their difference. if one exceeds the other by three, what are the numbers? i tried: a+b=7xa-b but 3a+b=7 x a-b i don't know what #s i should

Algebra ->  Equations -> SOLUTION: the sum of 2 numbers is 7 times their difference. if one exceeds the other by three, what are the numbers? i tried: a+b=7xa-b but 3a+b=7 x a-b i don't know what #s i should      Log On


   

Question 206926: the sum of 2 numbers is 7 times their difference. if one exceeds the other by three, what are the numbers?
i tried: a+b=7xa-b but 3a+b=7 x a-b i don't know what #s i should put in and solve for. this is worksheet, no book at school yet
thanks
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
a+%2B+b+=+7%2A%28a-b%29
a+%2B+b+=+7a+-+7b
8b+=+6a
b+=+3a%2F4
You are also told
a+=+b+%2B+3
a+=+%283a%2F4%29+%2B+3
4a+=+3a+%2B+12
a+=+12
So that means b = 9
Check your answer
Does 9+%2B+12+=+7%2A+%2812-9%29