If natural number is multiplied by 18 and other by 21 and added the products. Which one of the following could be the sum.

2025

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2008

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2006

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2002

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Solution

The correct option is A 2025
Given,

a natural number is multiplied by 18 and others by 21 and added the products

let the numbers be $x$ and $y$

from given, we have,

the sum of the number $= 18 x + 21 y$

$= 3 (6 x + 7 y)$

Therefore, the sum is divisible by $3$

From given options, only $2025$ is divisible by $3 (2 + 0 + 2 + 5 = 9 = 3 (3))$

Therefore, option $A$ is correct.

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Similar questions

A number is added to $2 \frac{1}{2}$ and the sum is multiplied by $4 \frac{1}{2}$ . Then 3 is added to the product and the sum is divided by $1 \frac{1}{5}$ which gives the quotient as 25. What is the number?

Q. When

2 \frac{1}{2}

is added to a number and the sum is multiplied by

4 \frac{1}{2}

and then

3

is added to the product and then the sum is divided by

1 \frac{1}{5}

, the quotient becomes

25

. What is that number

Q. Suppose you are given two natural numbers and are asked to multiply them followed by adding 4 to the result. The result of this operation is 40. Which of the following could NOT be the sum of the two numbers?

4

is added to a number and the sum is multiplied by

5

. If

20

is subtracted from the product and the difference is divided by

8

, the result is equal to

10

. The number is __________.

\frac{1}{2}

is subtracted from a number and the difference is multiplied by

4

. If

25

is added to the product and the sum is divided by

3

, the result is equal to

10

. Find the number

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