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There are 4 consecutive integers that sum to 62. What is the value of the greatest integer?

Solution

There are 4 consecutive integers that sum to 62. What is the value of the greatest integer?

Solution

The largest number : 17

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

Consecutive number 3 : x + 3

A.T.Q.:

x + x + 1 + x + 2 + x + 3 = 62

Solve

x + x + 1 + x + 2 + x + 3 = 62 : x = 14

x + 1 = 14 + 1 = 15

x + 2 = 14 + 2 = 16

x + 3 = 14 + 3 = 17

Select the largest solution:

17

The largest number : 17

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