Question

The sum of two numbers is 86. If one exceeds the other by 14, the two numbers are

Answer 1

Answer :-

• The two numbers are 36 and 50.

Given :-

• The sum of two numbers is 86.
• One number exceeds the other by 14.

To find :-

• The two numbers.

Step-by-step explanation :-

• In this question, it has been given that the sum of two numbers is 86. One number exceeds the other by 14. We have to find the two numbers. Here, we will form an equation using the information given to us. Let's see how to solve it.

Calculations :-

• Let one of the numbers be x.

• One of the numbers exceeds the other by 14.

• Therefore the other number will be x + 14.

• Now, the sum of these numbers = 86.

• So, x and x + 14 must add up to 86.

$\sf \implies x + x + 14 = 86$

• Adding the variables,

$\implies \sf2x + 14 = 86$

• Transposing 14 from LHS to RHS, changing it's sign,

$\sf\implies2x = 86 - 14$

• Subtracting 14 from 86,

$\sf \implies2x = 72$

• Transposing 2 from LHS to RHS, changing it's sign,

$\sf \implies x = \dfrac{72}{2}$

• Dividing 72 by 2,

$\sf \implies x = 36$

• The value of x = 36.

Thus, the two numbers are as follows :-

$\implies \bf x = 36.$

$\implies \bf x + 14=36 + 14 = 50.$

Answer 2

Answer:Answer :-

The two numbers are 36 and 50.

Given :-

The sum of two numbers is 86.

One number exceeds the other by 14.

To find :-

The two numbers.

Step-by-step explanation:

In this question, it has been given that the sum of two numbers is 86. One number exceeds the other by 14. We have to find the two numbers. Here, we will form an equation using the information given to us. Let's see how to solve it.

Calculations :-

Let one of the numbers be x.

One of the numbers exceeds the other by 14.

Therefore the other number will be x + 14.

Now, the sum of these numbers = 86.

So, x and x + 14 must add up to 86.

Adding the variables,

Transposing 14 from LHS to RHS, changing it's sign,

Subtracting 14 from 86,

Transposing 2 from LHS to RHS, changing it's sign,

Dividing 72 by 2,

The value of x = 36.

Thus, the two numbers are as follows :-