Let, the bigger number be "x" the smaller number be "y" Now, according to the question, x + y = 24...........equation (1).............because the sum of numbers is 24 x - y = 15 .............equation (2)..................because their difference is 15
Taking equation (2), x - y = 15 x = 15 + y ....................equation (3)
Now, Taking equation (1) x + y = 24 (Substituting the value of "x" form equation (3) we get) 15 + y + y = 24 (Subtracting 15 on both sides, we get) y + y = 24 - 15 2y = 9 y = 9 / 2 y = 4.5 Now, Taking equation (3) x = 15 + y (Substituting the value of y , we get) x = 15 + 4.5 x = 19.5 So, the two numbers are 19.5 and 4.5
