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## Explanation

If 50 is subtracted from two-third of a number.

The result is equal to sum of 40 and one-fourth of that number.

The number can be figure out in this way.

Let suppose the number is y.

50 is subtracted from 2y/3.

2y/3 – 50 ________ (i)

Adding 40 to y/4

y/4 + 40 ________ (ii)

We can figure out the value of y easily by considering both equations (i) and (ii) equal (y = 216).

## To Find

Number = ?

## Solution

Let suppose

Number = y

According to the given condition

2y/3 – 50 = y/4 + 40

4(2y – 150) = 3(y + 160)

8y – 600 = 3y + 480

8y – 3y = 480 + 600

5y = 1080

y = 1080/5

y = 216

**Required Number = 216 answer**

## Conclusion

If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. The number is 216.