Question

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

Answer 1

let the numbers be p, p+1, p+2.
p x 2 = 2p
p+1 x 3 = 3p + 3
p+2 x 4 = 4p+8

adding

2p+3p+3+4p+8 = 74
9p+ 11 = 74
9p = 63
p=7

nos are 7,8,9