Question

the difference of two number is 7 and their sum is 53. find the number.

Answer 1

Let one number be x

Let other number be y

A. T. Q

x-y=7...........(1)
x+y=53...........(2)
- - -

-2y=-46

Y=46/2

y=23


Now put y in equation (1)

x-y=7

x-23=7

x=7+23

x=30


Verify

Difference is 7

30-23=7


Sum is 53

30+23=53


Verify

Answer 2

The two numbers are 30 and 23.
The difference of 30 and 23 = 7
and the sum of 30 and 23 = 53.

Given:

• The difference between two numbers = 7
• The sum of two numbers = 53.

To find:
Both the numbers.

Step by step explanation
Let the first number be x
and let the second number be y.

According to the question,
x + y = 53
x - y =    7
2x = 60
x = 60/2
x = 30

Substituting the value of x in any of the given equations.
x + y = 53
y = 53 - x
y = 53 - 30
y = 23

⇒ The value of x = 30
⇒ The value of y = 23

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