Question

If the product of two numbers is $10$ and their sum is $7$, which is the greatest of the two numbers?

• A. $-2$
• B. $2$
• C. $5$
• D. $4$

Answer 1

Answer: (C)

$5$

Let the two numbers be $x$ and $y$.

Then according to the question,

$x=10$ and $x+y=7$ ..(1)

$y=\frac{10}{x}$ ..(2)

Substituting value from (2) into (1)

$x+\frac{10}{x}=7$

$x^2+10=7x$

$x^2-7x+10=0$

$(x-5)(x-2)=0$

$x=5$ or $2$

if $x=5,y=2$ or if $x=2,y=5$

Greater of two number is $5$.