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A+B=76 A:B is equivalent to 14:5. What is A and B?

User Daxlerod
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1 Answer

13 votes
13 votes

Answer:

A= 33 and B = 18

Explanation:

B that is equal to 11:5. We can multiply both quantities of this proportion by some number to find two values that satisfy A - B = 18.

The simplest case would be to think A = 11 and B = 5, but 11-5 is not equal to 18 ⇒ 11 - 5 = 6 which does not satisfy A - B = 18.

Another option to find an answer is to multiply the ratio by two: 2 (11: 5) = 22:10, but it turns out that is A = 22 and B = 10 ⇒22-10 is not equal to 18 either.

Thus we arrive at the one that is the correct answer, multiplying the proportion by three: 3 (11: 5) = 33 - 15, and in this case we would have A = 33 and B = 15, which meets the condition A - B = 18, because 33 - 15 = 18

User Archer
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