Question

find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30​

Answer 1

Answer:

Secondary School Math 5 points

Find the number whose fifth part increased by 30 is equal to its fourth part decreased by 30

Ask for details Follow Report by GunjanJathliya 08.08.2018

Answers

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fiercespartan

fiercespartan Ace

Hey there!!

Let us take the number as ' m '

The fifth part of m = ( m ÷ 5 )

The fourth part of m = ( m ÷ 4 )

If we take the question into equation :

( m ÷ 5 ) + 30 = ( m ÷ 4 ) - 30

60 = ( m ÷ 4 ) - ( m ÷ 5 )

LCM = 20

60 = ( 5m - 4m ) ÷ 20

60 = ( m ÷ 20 )

1200 = m

Number = 1200

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Answer 2

Answer :

The number is 1200

Step-by-step explanation :

Given :

A bnumber whose fifth part increased by 30 is equal to its fourth part decreased by 30​.

5th part and 4th part will be increased  and decreased by 30.

To Find :

The Number.

Solution :

★ Consider the -

The number as - "y"

It's fifth part as - $\sf \dfrac{y}{5}$

It's fourth part as -  $\sf \dfrac{y}{4}$

Now, It implies,

$\color{red}{\bigstar\;\boxed{\sf \dfrac{y}{5}+30=\dfrac{y}{4}-30}}$

$\color{red}{\bigstar\;\boxed{\sf\dfrac{y}{5}-\dfrac{y}{4}= -30-30}}$

Now, Values in Equation.

⇒ $\sf \dfrac{y}{5}$ + 30 = $\sf \dfrac{y}{4}$ - 30

⇒  $\sf \dfrac{y}{5}$ - $\sf \dfrac{y}{4}$ = - 30 - 30

⇒ $\sf \dfrac{4y-5y}{20}$ = - 60

⇒ - y = - 60 × 20

⇒ - y = - 1200

⇒ y = 1200

∴ The value of y - 1200.

Hence, The required number - 1200.