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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.
