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Explanation
- If the sum of one-half and one fifth of a number.
- Exceeds one third of that number by 7 1/3 (22/3).
The number can be figure out in this way.
Let suppose the number is y.
Sum of one-half and one-fifth of y.
y/2 + y/5
“y/2 + y/5” exceeds one-third of y by 7 1/3 (22/3).
y/2 + y/5 – 22/3 = y/3 ________ (i)
Through this equation we can easily figure out the value of y (y = 20).
To Find
Number = ?
Solution
Let suppose
Number = y
According to the given condition
y/2 + y/5 – 22/3 = y/3
y/2 + y/5 – y/3 = 22/3
3(15y + 6y – 10y) = 22 x 30
33y = 660
y = 20
Required Number = 20 answer
Conclusion
If the sum of one-half and one fifth of a number exceeds one third of that number by 7 1/3 (22/3), the number is 20.