Question

The sum of two numbers is 105 and their difference is 39. Find the numbers.

Answer 1

Answer:

Given :

$\textsf{Sum of two numbers = 105}$

$\textsf{Their difference = 39}$

To find :

$\textsf{The numbers which makes the sum of 105}$

Concept :

Let the numbers be x .

So , their difference is 39 . And the sum is 105 .

After taking all these values the equation will like this -:

$\sf{\boxed{x+x+39=105}}$

Solution :

$\large\sf{\implies{x+x+39=105}}$

$\large\sf{\implies{2x+39=105}}$

$\large\sf{\implies{2x=105-39}}$

$\large\sf{\implies{2x=66}}$

$\large\sf{\implies{x=\dfrac{66}{2}}}$

$\large\sf{\implies{x=33}}$

So , the smaller number is 33 .

To find the other number do sum of smaller number with 39 . Because their difference is 39 .

$\large\sf{\implies{Other\:number=33+39}}$

$\large\sf{\implies{Other\:number=72}}$

So , the larger or other number is 72 .

Verification :

To verify the answer do sum of both the number if the answer will come 105 . Then , the answer will be get verified.

$\large\sf{:\implies{33+72}}$

$\large\sf{:\implies{105}}$

So , the answer has came 105 .

Hence , the answer is verified .

Answer :

Numbers -:

(i) = 33

(ii) = 72

Answer 2

Answer:

Hope it helps buddy.....