Question

Sum of two number is 26 and their difference is 12 .Find their product

Answer 1

Que. Sum of two number is 26 and their difference is 12 .Find their product.

$\boxed{\boxed{\huge{\bf{Answer}}}}$

let the first number be x.

let the second number be y.

Now, as per the information given in the question

x + y = 26

let this be the equation (1)

and also given in the question

x - y = 12

let this be the equation (2)

Now , by using elimination method of solving equations.

Let us add both equations.

x + y + x - y = 26 + 12

2x = 38

$\boxed{\bf{x = 19}}$

Now by putting the value of x in equation (1)

19 + y = 26

$\boxed{\bf{y = 7}}$

And the product of these two numbers will be xy .

xy = 19 × 7

$\boxed{\bf{xy = 133}}$

Answer 2

Answer:

133

Step-by-step explanation:

Given:- sum of two numbers = 26

            difference of two numbers = 12.

To Find:- Product of those two numbers.

Solution:-

Let the numbers be x and y.

∴ x + y = 26 -------- (1)      and       x - y = 12 ------- (2)

Adding (1) and (2), we get

⇒ x + y +x - y = 26 + 12

⇒ 2x = 38

⇒ x = 19

Now, putting x = 19 in equation (1), we get

⇒ y = 26 - x

⇒ y = 26 - 19

⇒ y = 7

∴ Product of x and y is 19 × 7 = 133.

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