Sum of two numbers is 95.If one exceeds the other number by 15, find the numbers.
Hint- Suppose two variables in place of two numbers. Let the first number be x and the second number be y. It is been given that the sum of two numbers is 95, so mathematically We can write it as $x + y = 95$…. (1) Now the second condition given is that one number exceeds the other number by 15, this mathematically means that $y = x + 15$………………….. (2) Substituting equation 2 in equation 1 we get $x + x + 15 = 95$ On further solving we get $2x = 95 - 15 = 80$ Hence $x = 40$which is our first number. Now putting x in equation 2 $y = 40 + 15 = 55$ Thus the required two numbers are 40, 55. Note- Whenever we need to solve such problems the key concept is simply to assume the two required numbers as two variables , then use the questions conditions to solve for x and y, this will give you the right answer.