Question

Sum of two number is 127.Their difference is 33.Find their products. ​

Answer 1

Answer:

The product of their numbers is 3760.

Solution:

We are given that, sum of two numbers is 127. The difference of two numbers is 33.

Since the number is unknown, let us assume the numbers as x and y respectively.

Now, according to the question:

⟶ x + y = 127 ---(Eq.1)

⟶ x - y = 33 ---(Eq.2)

On adding Eq.1 and Eq.2, we get:

⟶ x + y + x - y = 127 + 33

⟶ 2x = 160

⟶ x = 160/2

⟶ x = 80

We have found one variable, which means we need to find the other number (y).

Let us substitute the value of x in Eq.(1):

⟶ x + y = 127

⟶ 80 + y = 127

⟶ y = 127 - 80

⟶ y = 47

Hence, we have found the two numbers. According to the question, since we need to find their products;

⟶ Product = xy

⟶ Product = 80 × 47

⟶ Product = 3760

Hence, the product of their numbers is 3760.

Answer 2

Given:-

• Sum of two number is 127.
• Their difference is 33.

⠀

To find:-

• Their products.

⠀

Solution:-

★ In this question we have given that sum of two number is 127. Their difference is 33. We have to find out their products. Let's do it.

⠀

According to the question,

⠀

⇢ x + y = 127 ⠀....(eq. 1)

⇢ x - y = 33⠀ ....(eq. 2)

⠀

Firstly,

⠀

⇢ x + y + x - y = 127 + 33

⇢ 2x = 160

⇢ x = 160/2

⇢ x = 80

⠀

Then,

⠀

⇢ x + y = 127

⇢ 80 + y = 127

⇢ y = 127 - 80

⇢ y = 47

⠀

Now,

⠀

⇢ Product = xy

⇢ Product = 80 × 47

⇢ Product = 3760

⠀

Hence,

• the product of their numbers is 3760.