The integers x and y are greater than 1. If(4x)(7y)= 756, what is the value of x

游客2024-01-12 41

问题 The integers x and y are greater than 1. If(4x)(7y)= 756, what is the value of x + y?
x + y =______

选项

答案 12

解析 You can solve the given equation,(4x)(7y)= 756, for the product xy:
(4x)(7y)= 756
28xy=756
xy = 27
By trial and error, you find that 3 and 9 are the only two integers greater than 1 whose product is 27. So x + y = 12, and the correct answer is 12.
This explanation uses the following strategy.
Strategy 10: Trial and Error

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