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three consecutive integers are such that when they are taken in increasing order and multiplied by 2,3,4respectively they add upto 101. Find

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three consecutive integers are such that when they are taken in increasing order and multiplied by 2,3,4respectively they add upto 101. Find

Question

three consecutive integers are such that when they are taken in increasing order and multiplied by 2,3,4respectively they add upto 101. Find the number

## Answers ( )

Step-by-step explanation:Let x, x+1, x+2 be the consecutive integers.2x + 3(x+1) + 4(x+2) = 101

2x+3x+3+4x+8 = 101

(2x+3x+4x)+(3+8) = 101

9x + 11 = 101

9x = 101 – 11

9x = 90

x =

x = 10

Since, x = 10, the three integers are 10, 11 and 12

Check:2 x 10 + 3 x 11 + 4 x 12 = 101

20 + 33 + 48 = 101

101 = 101

Conclusion:Hence, proved