If the sum of two numbers is 24 and the difference between them is 10, Then what is the value of two times the product of the numbers?

Correct option is C

Given:

Sum of two numbers = 24

Difference between the two numbers = 10

Solution:

Let the two numbers be x and y, where:

x + y = 24  …(i)

x - y = 10  ….(ii)

Add the equations (i) and (ii):

(x + y) + (x - y) = 24 + 10

2x = 34

x = 17

Substitute x = 17 into equation (i):

x + y = 24

17 + y = 24

y = 7

Now, we have x = 17 and y = 7.

Then,

2xy = $$2\times17×7$$ = 238​