Question

The sum of two numbers is 11 and their difference is 3 What is the answer?

Answer 1

GIVEN :-

• Sum of two numbers is 11
• Difference of two numbers is 3

TO FIND :-

• What are the two numbers

CONSIDERATION :-

We shall consider the two numbers be x , y

SOLUTION:-

So, According to Question ,

• Sum of two numbers is 11

Since ,

x + y = 11 ------- equation 1

• Difference of two numbers is 3

Since,

x - y = 3 -------- equation 2

We got two equations

Adding two equations

eq 1 + eq2

x + y +( x - y) = 11+ 3

x+ y + x - y = 14

2x = 14

x = 14/2

x = 7

Substitute value of x in any equation

x + y =11

7 + y = 11

y =11 - 7

y = 4

So, the value of x, y are 7, 4

VERIFICATION:-

We got two numbers Hence their sum should be 11 and Difference should be 3

Sum of two numbers = 7+ 4

Sum of two numbers = 11 (Satisfied)

Difference of two numbers = 7-4

Difference of two numbers = 3 (Satisfied)

If we Substitute value of x, y in two equations also it should satisfy

x+ y = 11

7 + 4 =11

11 =11 (Satisfied)

x - y = 3

7- 4 = 3

3= 3 (Satisfied)

Answer 2

Question :

The sum of two numbers is 11 and their difference is 3 What is the answer?

Answer :

$\sf\pink {Given :}$

• sum of two numbers is 11 .

• Their difference is 3 .

$\sf\pink {To\:find :}$

• the numbers ?

Explanation :

• let the two numbers be "x" and "y" .

By the first condition ,

x + y = 11 -------------- equation (1)

By the second condition,

x - y = 3 --------------- equation (2)

Adding equation 1 and 2 .

x + y = 11

x - y = 3

---------------

2x = 14

$\longrightarrow\sf { x = \dfrac {14}{2}}$

$\longrightarrow\sf { x = 7}$

Putting value of x as 7 in equation 1 .

x + y = 11

$\longrightarrow\sf { 7 + y = 11}$

$\longrightarrow\sf {y = 11 - 7}$

$\longrightarrow\sf {y = 4}$

• Therefore the numbers are 7 and 4 .