Question

three consecutive integers are such that when they are taken in increasing order and multiplied by 2 and 3 and 4 respectively they add up to 74 find this number

Answer 1

Let the numbers be, x, x+1, x+2

when these are multiplied by 2,3,4

2x+3(x+1)+4(x+2) =74
2x+3x+3+4x+8=74
9x+11=74
9x=63
x=7
x+1=8
x+2=9

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Answer 2

Answer:

7, 8, 9

Step-By-Step Explanation:

Let the three consecutive integers are x, x+1 and x+2.

According to the question,

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

⇒ 2x + 3x +3 + 4x + 8 = 74

⇒ 9x + 11 = 74

⇒ 9x = 74 – 11

⇒ 9x = 63

⇒ x = 63/9

⇒ x = 7

Thus, the numbers are:

x = 7

x + 1 = 8

x + 2 = 9