If the product of two numbers is 10 and the sum of the two numbers is 7, then the larger of the numbers is

If the product of two numbers is 10 and the sum of the two numbers is 7, then the larger of the numbers is

A -2

B 2

C 4

D 5

Solution

Correct Answer: Option D

Let, larger number = x

and small number = y

So, xy=10 and, x+y=7--------(i)

We know, (x-y)2=(x+y)2 - 4xy

=(7)2 - 4×10

=49 - 40

=9

so, x-y=3--------(ii)

Now, (i)+(ii)

2x=10

=> x=10/2

=> x=5

So, larger number = 5 (Ans.)