SOLUTION: Two numbers are in a ratio of 5:8. If the difference between the numbers is 45. What is the smaller number?

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Question 1092217: Two numbers are in a ratio of 5:8. If the difference between the numbers is 45. What is the smaller number?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Numbers are for some unknown x,
5x and 8x.

8x-5x=45
3x=45
x=3

The numbers are 75 and 120.

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
x%2Fy = 5%2F8  ====>

x = %285%2F8%29%2Ay  ====>

y - 5%2F8%29%2Ay = 45  ====>  multiply both sides by 8  ====>

8y - 5y = 45*8  ====>  3y = 45*8  ====>  y = %2845%2A8%29%2F3 = 15*8 = 120  ====>  x = %285%2F8%29%2A120 = 5*15 = 75.

Answer. The two numbers are 75 and 120.