Question

the sum of two numbers is 100 and their difference is 10 find the number​

Answer 1

Answer:

x = 55 and y = 45

Step-by-step explanation:

Given:

Let the numbers be x and y respectively.

So,

x + y = 100 (i) and

x - y = 10 (ii)

Adding (i) and (ii),

x + x + y - y = 110

2x = 110

x = 55

Plugging x = 55 in (i), we get:

55 + y = 100

y = 45

Answer 2

The numbers are 55 and 45.

Given - Sum and difference of two numbers

Find - Numbers

Solution - Let the number be x and y.

Equation 1 -

x + y = 100

Equation 2 -

x - y = 10

x = 10 + y

Keep the value of x in equation 1

10 + y + y = 100

Performing addition and shifting 10 to Right Hand Side

2y = 100 - 10

Performing subtraction

2y = 90

Shifting 2 to Right Hand Side and performing division

y = 90/2

y = 45

Keep value of y in Equation 1

x + 45 = 100

x = 100 - 45

Performing subtraction

x = 55

Hence, the numbers are 55 and 45.

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