Question

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

Answer 1

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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