Question

If you subtract the sum of two consecutive numbers from the product of the same two numbers, the answer is 5. what are the numbers?

Answer 1

Answer:

let 1st no. is x

2nd is x+1

x*(x+1)-(x+x+1)=5

${x}^{2} + x - (2x + 1) = 5$

${x}^{2} - x + - 1 = 5$

${x}^{2} - x - 6 = 0$

${x}^{2} - 3x + 2x - 6 = 0$

x(x-3)+2(x-3)=0

x=3,-2

hence if natural no. are taken these are 3,4

if it is integer then these are -2,-1