The value of the number is 135
Let 'm' be the required number.
We have been given a statement '12 less than four fifths of a number is three fifths of number increased by 15.'
We write given statement as a mathematical expression.
We can write '12 less than four fifths of a number ' as,
(4/5)m - 12
Also, we can write 'three fifths of number increased by 15' as (3/5)m + 15
so for statement, '12 less than four fifths of a number is three fifths of number increased by 15' we get an equation,
(4/5)m - 12 = (3/5)m + 15
Now we solve above equation to find the value of the m.
⇒ (4/5)m - 12 = (3/5)m + 15
⇒ (4/5)m - (3/5)m = 15 + 12
⇒ (4/5 - 3/5)m = 27
⇒ (1/5)m = 27
⇒ m = 27 × 5
⇒ m = 135
Therefore, the value of the number is 135
Learn more about an equation here:
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