Question

sum of two numbers is 100 and their difference is 10 what r the numbers with clear manner don't Spam​

Answer 1

Answer:-

Let the numbers be "a" and "b".

given,

Sum of the numbers = 100

a + b = 100 -- equation (1)

Difference of the numbers = 10

a - b = 10 -- equation (2)

Add both the equations,

a + b + a - b = 100 + 10

2a = 110

a = 55

Substitute "a" value in equation (1)

a + b = 100

=> 55 + b = 100

=> b = 100 - 55

=> b = 45

Hence, the numbers are 55 and 45.

Answer 2

Question

sum of two number is hundred and the difference is 10 what are the numbers ?

Answer

Given,

• the sum of two numbers is 100

let it be :- x + y = 100 ( equation I )

• the difference of two number is 10

let it be :- x - y = 10 ( equation ii )

Now,

by adding both the equation we get ,

$= > x + y + x - y = 100 + 10$

$= > x + \cancel{y} \: + x - \cancel{y} \: = 110$

$= > 2x = 110$

$= > x = \frac{110}{2}$

$= > x = 55$

Hence , one number is 55 .

Now,

substituting the value of x in the equation 1 we get ;

$= > x + y = 100$

$= > 55 + y = 100$

$= > y = 100 - 55$

$= > y = 45$

so then other number is 45 .

Hence, we get both the numbers 55 and 45 .

Verify

X + y = 100

=> 55 + 45

= 100

X - y = 10

=> 55 -45

= 10

Hence, verified !