Question

The sum of 2 numbers is 18, and their difference is 8. Therefore, the product of numbers is ______.

पर्याय

• 80

• 77

• 65

• 72

Answer 1

The sum of 2 numbers is 18, and their difference is 8. Therefore, the product of numbers is 65.

Explanation:

Let the numbers be x and y,

x + y = 18   ...(1)

x − y = 8   ...(2)

Now, adding equations (1) and (2):

(x + y) + (x − y) = 18 + 8

2x = 26

x = `26/2`

∴ x = 13

Substitute x = 13 into equation (1):

13 + y = 18

y = 18 − 13

∴ y = 5

So, the numbers are 13 and 5,

Hence, the product is 13 × 5 = 65.