Sum of the two numbers is 90 if one exceeds by 15 find the numbers

Solution

Let one of the numbers be ‘x’.

Then, the other number becomes (x + 15)

As per the given data the equation becomes,

x + (x + 15) = 95

2x + 15 = 95

2x = 95 – 15

2x = 80

x = 80/2

x = 40

So, First number = 40

And, other number is = (x + 15) = 40 + 15 = 55

Answer

First number = 40

Other number is = 55

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Solution:

Assume any one number to be a variable and form a linear equation by using the relationships between the two numbers mentioned in the problem statement.

Let one of the numbers be x.

Then the other number is 95 - x.

If we assume x to be larger among two of them,

⇒ x - (95 - x) = 15 (as one exceeds the other by 15)

⇒ 2x = 15 + 95

⇒ x = 110 / 2 = 55

The other number is (95 - x) which is 95 - 55 = 40

Thus, the two numbers are 40 and 55.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 2

Video Solution:

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 4

Summary:

If the sum of two numbers is 95 and if one exceeds the other by 15, the numbers are 40 and 55.

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