Question

This a sum of two number is 53 and their difference is 25 find the numbers

Answer 1

let x represent one of the numbers and y the other number. Set up two equations to solve: Equation 1, sum of the numbers: x  +  y   =  53  Equation 2, difference of the numbers: x  -  y  = 25   System of equations: x  +  y  =  53 x  -  y   =  25 ---------------- 2x = 78 x = 39 Solve for y: 39  +  y  = 53 y  =  14   The numbers are 39 and 14.