Four -fifth of a no. Is 10 more than two-third of the no. What is three-fifthof that
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Let the number be x.
Then,
Four-Fifth of x
= 4/5 × x
= 4x/5
And,
Two-third of the number
= 2/3 × x
= 2x/3
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Now, according to the question,
or, 4x/5 is 2x/3 + 10
Then,
4x/5 = 2x/3 + 10
=> 4x/5 - 2x/3 = 10
=> 12x-10x/15 = 10
=> 2x/15 = 10
Now, by the process of cross multiplication, we get
=> 1 × 2x = 15 × 10
=> 2x = 150
=> x = 150/2
=> x = 75
Now,
Three fifth of 75
= 3/5 × 75
= 3 × 15
= 45
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