# Sum of two numbers is 95.If one exceeds the other number by 15, find the numbers.

Answer

Verified

363.6k+ views

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.

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.

Last updated date: 19th Sep 2023

•

Total views: 363.6k

•

Views today: 3.63k