Three even numbers sum up to 252. the smallest is half the largest and the middle number is 3/4 the largest. what are the three numbers? enter as a comma separated list.

Question

Mathematics

Blake Hammond

13 September, 02:49

Three even numbers sum up to 252. the smallest is half the largest and the middle number is 3/4 the largest. what are the three numbers? enter as a comma separated list.

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Answers (1)

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Ella Gardner · Answer 1

Let the largest number be x:

smallest number=1/2x

middle number=3/4x

total sum of the numbers is:

x+1/2x+3/4x=252

9/4x=252

solving for x we get

x=252*4/9

x=112

thus the largest number is 112

middle number=3/4*112=84

smallest number=1/2*112=56

Answer: 56,84,112