Question

The sum of two numbers is 36 . If one number exceeds the other by 10. Find the numbers,​

Answer 1

Answer:

Let one no. be x.

Then, the second no.= x+10

According to the question,

(x)+ (x+10)= 36

2x+10= 36

2x=36-10=26

x=26/2=13

Thus, the nos. are:

x=13

x+10=23

Answer 2

Given:

• Sum of two numbers = 36.

• One number = x.

• Another number = x + 10. (exceeds the other by 10)

What To Do:

We have to find the numbers.

How To Do:

To find the two numbers we have to,

• Form a linear equation.

• Solve the equation.

• Substitute the values.

Equation:

Sum of two numbers = 36

→ 1st no + 2nd no = 36

→ x + (x + 10) = 36

Solution:

x + (x + 10) = 36

Remove the brackets,

⇒ x + x + 10 = 36

Add x and x,

⇒ 2x + 10 = 36

Take 10 to RHS,

⇒ 2x = 36 - 10

Subtract 10 from 36,

⇒ 2x = 26

Take 2 to RHS,

⇒ x = 26/2

Divide 26 by 2,

⇒ x = 13

Substitution:

• 1st no = x = 13

• 2nd no = x + 10 = 13 + 10 = 23

Final Answer:

∴ Thus, the numbers are 13 and 23.