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Three-Fourth of a Number is 60 More than its One-Third. The Number is?

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Explanation

  • Three-fourth of a number is 60 more than its one-third.
  • The number can be figure out as:

Let suppose the number is y.

Three-fourth of “y”.

y x 3/4

The resultant is 60 more than its one-third

3y/4 – 60 = y/3 ________ (i)

Value of y can be find out easily from equation (i) by just simplifying it (y = 144).

To Find

Number = ?

Solution

Let suppose

Number = y

According to the given condition

3y/4 – 60 = y/3

3y – 240 = 4y/3

3(3y – 240) = 4y

9y – 720 = 4y

9y – 4y = 720

5y = 720

y = 720/5

y = 144

Required Number = 144 answer

Conclusion

Three-fourth of a number is 60 more than its one-third. The number is 144.

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