MathematicsThe difference between two whole numbers is 26 and one number is three times the other. Find the numbers.

The difference between two whole numbers is $26$ and one number is three times the other. Find the numbers.

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Uploaded: 2023-05-17T14:00:00.000Z
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A
$45$ and $15$
B
$48$ and $12$
C
$60$ and $20$
D
$39$ and $13$

Solution:

Given, the difference between two whole numbers is

26

and one number is three times the other.
Let the numbers be

x

and

y

.
⇒

x - y = 26

…

(1)

Also,

x = 3 y

…

(2)

From equations

(1)

and

(2)

, we get,
⇒

3 y - y = 26

⇒

2 y = 26

Therefore, y = 13.
So,

x = 3 y

⇒

x = 3 \times 13

⇒

x = 39

Numbers are

39, 13

.
Hence, the correct option is 4.

The difference between two whole numbers is $26$ and one number is three times the other. Find the numbers.

Solution:

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