Question

three consecutive integers are such that when they are taken in increasing order and multiplied by 2,3,and4 respectively they add up to 74. find these numbers

Answer 1

Let these Three consecutive numbers are X, Y, and Z.

so Y = X+1, and Z = Y+1 = X+2

A/q,

        2X+3Y+4Z = 74

OR,  2X+3(X+1)+4(X+2) = 74

OR,  2X+3X+4X+3+8 = 74

OR,   9X = 74-11

OR,    X = 63/9 = 7

Therefore numbers are X = 7, Y = 7+1 = 8, and Z = 8+1 = 9

Hope it helps

Please mark as brainlist answer

Please mark as brainlist answer

Answer 2

the no.s are 7,8,9
ie. 7*2=14
8*3=24
9*4=36
when add up:- 14+24+36
=74