Question

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

Answer 1

Ist consecutive integer=2(x)

2nd consecutive integer=3(x+1)

3rd consecutive integer=4(x+2)

A.T.Q.=2(x)+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