Question

Three consecutive integers are such that when they are taken in increasing order and multiplied by 3, 4 and 5 respectively, they add up to 386. Find these numbers.​

Answer 1

Answer:Let the consecutive numbers be x, x +1 and x + 2

Multiplied by 3, 4, and 5 respectively, The numbers will become

3(x)         = 3x

4(x + 1)   = 4x + 4

5(x + 2)   = 5x + 10

Sum of these numbers =  386

3x + 4x + 4+ 5x + 10 = 386

12x + 14 = 386

12x = 386-14

x = 31

So numbers are 31,32,33.

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