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Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find the two Numbers? show working​

User ACNB
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1 Answer

3 votes

Answer:


14\text{ and }16

Explanation:

Let the smaller number be
x. Since they are consecutive even numbers, the larger number can be represented by
x+2.

Therefore, we have the following equation:


8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}

Thus, the larger number is
x+2=\boxed{16}

User Casper Nybroe
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