Question

the sum of two numbers is 126. if the ratio of the numbers is 6 : 8, find the numbers.

Answer 1

Answer:

The two numbers are 54 and 72

Step-by-step explanation:

Let the two numbers be 6x and 8x respectively.

So,

6x + 8x = 126

or, 14x = 126

or, x = 126/14

or, x = 9

So, the first number is 6 x 9 = 54

The second number is 8 x 9 = 72

Answer 2

Required Answer :

• First number = 54
• Second number = 72

Given :

• Ratio of two numbers = 6 : 8
• The sum of the two numbers = 126

To find :

• The two numbers

Solution :

In this question, we are given the ratio of two numbers and their sum. So, firstly we will assume the numbers according to the ratio given. Then we'll add both the numbers and keep them equal to the sum mentioned in the question.

Let the two numbers be 6x and 8x.

• First number = 6x
• Second number = 8x

According to the question,

⇒ First number + Second number = 126

⇒ 6x + 8x = 126

⇒ 14x = 126

⇒ x = 126/14

⇒ Cancelling by 2 :

⇒ x = 63/7

⇒ Cancelling by 7 :

⇒ x = 9

The value of x = 9

Substituting the value of 'x' in the numbers :

FIRST NUMBER :

⇒ First number = 6x

⇒ First number = 6(9)

⇒ First number = 54

SECOND NUMBER :

⇒ Second number = 8x

⇒ Second number = 8(9)

⇒ Second number = 72