the sum of two numbers is 126. if the ratio of the numbers is 6 : 8, find the numbers.
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the sum of two numbers is 126. if the ratio of the numbers is 6 : 8, find the numbers.
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Required Answer :
Given :
To find :
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.
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
Verified answer
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