Two number are in the ratio of 7:5. If they differ by 18, what is the number?
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The numbers are 56 and 40.
A/B = 7/5 (1)
A-B = 18 (2)
From (1) we get 5A = 7B or 5A - 7B = 0 (3)
From (2) we get 5A - 5B = 80 (4)
Subtract (3) from (4) and get 2B = 80 so B = 40.
A = 40 + 16 = 56
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