Question

Three consecutive integers are such that when they are taken in increasing order and multiplied by 2,3 and 4 respectively, they add up to 74. Find these numbers.



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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The three consecutive integers are: 7, 8 and 9

Step-by-step explanation:

Let the three consecutive integers be: x-1, x, x+1

According to the question,

2(x - 1) + 3x + 4(x + 1) = 74

=> 2x - 2 + 3x + 4x + 4 = 74

=> 9x + 2 = 74

=> 9x = 72

=> x = 8

Now, the three integers are: x-1, x, x+1

Substituting the value of x = 8, we get the three integers as: 7, 8, 9

Answer: The three consecutive integers are: 7, 8 and 9