Question

The sum of two numbers is 84, and one of them is 12 more than the other.  What are the two numbers?​

Answer 1

Answer:

The first number is x

The second number is y

• So according to the given condition ,

x+y=84 ————-(1)

• other we can write,

x+12=y -------------(2)

• Now putting the values of y in equation (1) we get,

→x+x+12=84

=>2x+12=84

=>2x+12–12=84–12

=>2x=72

=>2x/2=72/2

=>x=36

• Taking the value of x in equation(2) we get,

36+12=y

=>y=48

• The two numbers are 48 and 36.

Answer 2

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Given:-

In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number.

We are told that the other number is 12 more,

Hence x + 12.

The problem states that their sum is 84:

We have:

2x = 84 − 12

= 72.

x = 72 /2

= 36.

This is the first number. Therefore the other number is

x + 12 = 36 + 12 = 48.

The sum of 36 + 48 is 84.

Hence Prõved that the two numbers are 36 and 48.

Learn more:-

In order to find the unknown number we need to let one number be X and then substitute the equation with the value to find the answer.