Question

three consecutive integers are such the when are taken in increasing order and multiplied by 5 ,6, and 7 respectively they add up 74 find these number please ​

Answer 1

$\huge \text{Answer:}$

Let 3 consecutive integers: x,x+1,x+2

As per the question: 2x+3(x+1)+4(x+2)=74

9x+11=74

Transpose 11 to RHS

9x=63

Divide both sides by 9

x=963,x=7

x=7,

x+1=7+1=8

x+2=7+2=9

Numbers are 7,8 and 9