Given: Product of two numbers = 48 Sum of their square = 100 Concept used: (a+b)2=a2+2ab+b2 Calculations: Let the number be x and y According to the questions, x×y=48 ----(1) Multiply equation (1) with 2 2xy=96 ----(2) x2+y2=100 ----(3) Add equation (2) and (3) x2+y2+2xy=100+96 ⇒(x+y)2=196 ⇒(x+y)=√196 ⇒x+y=14 ∴ The sum of these two numbers is 14