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Q.

The difference between two numbers is 26 and one number is three times the other. Then the sum of these numbers?


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a

52.

b

65

c

130

d

91 

answer is A.

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Detailed Solution

According to the question, we are given that there are two numbers and the difference between the two numbers is 26. Also, one number is three times the other.
First of all, let us assume that the first number is x while the second number is y.
Since the difference between the two numbers is 26 and the two numbers are x and y so, the difference between the numbers x and y must also be equal to 26.
x − y = 26……………………….(1)
Also, we are given that the first number is three times the other so, x must be equal to three times y.
x = 3y……………………..(2)
Now, on substituting x by 3y
in equation (1), we get
⇒ 3y – y = 26
⇒2y = 26
⇒ y = 26 2  
⇒ y = 13…………………..(3)
Now, on putting the value of y in equation (2), we get
⇒ x = 3×13
⇒ x = 39⇒x=39………………………..(4)
From equation (3) and equation (4), we have
The value of the first number = 39.
The value of the second number = 13.
Therefore, the two numbers are 13 and 39
Then the sum of the numbers is 52.
 
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