Question

the sum of the real numbers are x and y is 11. their difference is 3. What is the value of xy?

Answer 1

Let the numbers be x and y.

Given

Sum of the numbers = 11

=> x + y = 11

Difference of the numbers = 3

=> x - y = 3, x>y

Solving, we get,

$x+y=11\\\underline{x-y=3}\\\underline{\underline{2x=14}}$

$\implies x = 7\\y = 4$

$\boxed{\boxed{\bold{Therefore, \ the \ value \ of \ xy = 4 * 7 = 28}}}}}$

                                                 

Answer 2

$\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$

the sum of the real numbers are x and y is 11. their difference is 3. What is the value of xy ?

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{\pink{Given}}}}}$

• X + y = 11 .........(1)
• x - y = 3 ...........(2)

$\Large{\underline{\mathfrak{\bf{\pink{Find}}}}}$

• Value of xy

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

Add equation (1) and equation (2)

$\mapsto\sf{\:2x\:=\:14} \\ \\ \\ \mapsto\sf{\:x\:=\:\cancel{\dfrac{14}{2}}} \\ \\ \\ \mapsto\sf{\red{\:x\:=\:7}}$

keep value of x in equ(1)

$\mapsto\sf{\:7+y\:=\:11} \\ \\ \\ \mapsto\sf{\:y\:=\:11-7} \\ \\ \\ \mapsto\sf{\red{\:y\:=\:4}}$

$\Large{\underline{\underline{\mathfrak{\bf{Thus}}}}}$

• Value of x = 7
• Value of y = 4

Now,calculate

$\mapsto\sf{\orange{\:x.y}} \\ \\ \\ \small\sf{\:\:\:\:keep\:value\:of\:x\:and\:y} \\ \\ \\ \mapsto\sf{\:7\times4} \\ \\ \\ \mapsto\sf{\blue{\:28\:\:\:\:\:Ans}}$