Question

find two numbers whose sum is 31 and diffrence is 3. (answer is 14 and 17) ... tell me in step by step explanation​

Answer 1

AnswEr :

• The two numbers is 14 and 17 respectively.

Explanation :

We are given with the sum of two numbers is 31 and the difference of two number is 3$.$

We have to find out the two numbers.

⠀__________________________

Now,

Let us consider that, the two numbers is "x" and "y" respectively.

⠀

As it is given that, the sum of two numbers is 31.

→ x + y = 31 .........(1)

⠀

As it is also given that, the difference of two numbers is 3.

→ x - y = 3 ...........(2)

⠀

Solving equation (1),

⇒ x + y = 31

⇒ x = 31 - y

⠀

Substituting the value of x in equation (2),

⇒ x - y = 3

⇒ 31 - y - y = 3

⇒ 31 - 2y = 3

⇒ -2y = 3 - 31

⇒ -2y = -28

⇒ 2y = 28

⇒ y = 28/2

⇒ y = 14

⠀

Now, again substituting the value of y in equation (1),

⇒ x + y = 31

⇒ x + 14 = 31

⇒ x = 31 - 14

⇒ x = 17

⠀

Hence, the two numbers is 14 and 17 respectively.

Answer 2

Answer:

Given :-

• Sum is 31 and difference is 3.

To Find :-

• What are the two numbers.

Solution :-

Let, the two numbers be x and y

First, the sum of the number is 31,

$\mapsto$ x + y = 31 ...... (1)

Now, difference of the number is 3,

$\mapsto$ x - y = 3 ........ (2)

According to the question,

First, by adding the equation no (1) and (2) we get,

⇒ (x + y) + (x - y) = 31 + 3

⇒ x + y + x - y = 34

⇒ 2x = 34

⇒ x = $\dfrac{\cancel{34}}{\cancel{2}}$

➠ x = 17

Now, by putting x = 17 in the equation no (1) we get,

↦ x + y = 31

↦ 17 + y = 31

↦ y = 31 - 17

➥ y = 14

$\therefore$ The two numbers is 17 and 14 .