Question

Find two consecutive integers such that four times the greater integer is six less than five times the lesser integer

Answer 1

Find two consecutive integers such that four times the greater integer is six less than five times the lesser integer

Let

x -----> one integer

x+1 ----> second integer

4(x+1)=5x-6

solve for x

4x+4=5x+6

5x-4x=4-6

x=-2

so

x+1=-2+1=-1

the integers are -1 and -2