Question

When 30 is added to 3 times a number , the sum is 10 less than 5 times the number .Find the number

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Answer 1

$\huge{\bf{\underline{\red{Solution :}}}}$

Let the number be x

First Case :

• 3 times of the number = 3x
• Now Adding 30 to 3 times of the number  ⇒ 3x + 30

Second Case :

• 5 times of Number = 5x
• 10 less than 5 times the number = 5x - 10

According to Question :

$\implies \bold{5x - 10 = \bold{ 3x + 10}}$

$\implies \bold{5x - 3x = \bold{30 + 10}}$

$\implies \bold{2x = 40}$

$\implies \bold{ x = \frac{40}{2} }$

x = 20 , Required number is 20 (Answer)

$\rule{200}2$

Answer 2

Answer:-

Let the number be x.

The question says, about the addition of 30 with three times the number.

So, 30 + 3x

Later, it says, the sum is 10 less than 5 times the number.

So, 5x - 10

Hence, 30 + 3x = 5x - 10

➜ 30 + 10 = 5x - 3x

➜ 40 = 2x

➜ x = 40/2

➜ x = 20

$\rule{200}2$