Question

Four times the smallest of three consecutive integers is three more than three times the largest. Find the middle integer.

Answer 1

Given : Four times the smallest of three consecutive integers is three more than three times the largest.

To Find :  the middle integer.

Solution:

Let say Middle integer is N

Smallest = N - 1

Largest = N + 1

Four times the smallest = 4 (N - 1)

three times the largest = 3(N + 1)

4 (N - 1) = 3(N + 1)  + 3

=> 4N - 4  = 3N + 3 + 3

=> N = 10

middle integer = 10

9 , 10 , 11

36 = 33 + 3

9 * 4 = 11 * 3 + 3

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