Question

The product of 2 consicutive positive integer is 11 less than 11 times their sum. Find no.

Answer 1

let the integer be x,x+1
A/q,
x×(x+1)+11=11(x+x+1)
x^2+x+11=11(2x+1)
x^2+x+11=22x+11
x^2=22x-x
x^2=21x
x^2-21x=0
x(x-21)=0
x-21=0
x=21
so,integers are 21,21+1=21,22