Question

Three consecutive integers are arranged in descending order. These numbers are then multiplied by 3, 4, and 5, respectively. The sum of these products is 154. Find the integers.

Answer 1

Answer:

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Answer 2

Answer:

Let the three consecutive integers be;

x , x+1 and x+2.

These numbers in decreasing order would be;

x+2 , x+1 , x .

According to the question;

If these numbers are multipled by 3 , 4 and 5, then the sum is 154.

=> 3(x+2) + 4(x+1) + 5x = 154

=> 3x + 6 + 4x + 4 + 5x = 154

=> 12x + 10 = 154

=> 12x = 154 - 10

=> 12x = 144

=> x = 144/12

=> x = 12.

Hence;

1st integer = x = 12

2nd integer = x+1 = 12+1 = 13

3rd integer = x+2 = 12+2 = 14

Thus,

The required integers are 12,13 and 14.