find two consecutive even numbers such that the sum of the smaller number and twice the greater number is 100

Question

Mathematics

Litzy Fleming

8 May, 21:13

find two consecutive even numbers such that the sum of the smaller number and twice the greater number is 100

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Answers (1)

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Quentin Malone · Answer 1

two consecutive even numbers: 2n and 2n+2

2n+2 (2n+2) = 100

2n+4n+4=100

6n=100-4

6n=96

n=96/6

n=16

the smaller number: 2n=2 (16) = 32

the greater number: 2n+2=2 (16) + 2 = 34

Ans. 32 and 34