# If the sum of two numbers is 14 and their diffenrece is 10

If the sum of two numbers is 14 and their diffenrece is 10. Find the product of these two numbers.

(a) 18

(b) 20

(c) 24

(d) 22

**Answer: (c) 24 **

**Explanation:-**

Let the two numbers be X and Y.

The sum of two numbers is 14.

Then, X + Y = 14 …………….. (1)

And their difference is 10.

Then, X – Y = 10 ………….. (2)

Add equation (1) & (2).

Then, X + Y + X – Y = 14 + 10

2 X = 24

X = 24/2

X = 12

Then, Y = 14 – 12

= 2

So, the product of these to numbers = 12 x 2

= 24.

Hence, the correct answer is option (c) 24.