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If a Number is Decreased by 4 and Divided by 6, the Result is 8. What would be the Result if 2 is Subtracted from the Number and then it is Divided by 5?

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Explanation

If a number is decreased by 4 and divided by 6, the result is 8.

If 2 is subtracted from the number and divided by 5, then the result can be find out in this way.

Let suppose the number is y.

Now, decreasing this number by 4

y – 4

and dividing by 6

(y – 4)/6

The result is 8

(y – 4)/6 = 8 ________ (i)

Value of y can be figure out easily from equation (i) by just simplifying it (y = 52).

Now, number is known to us (y = 52), after subtracting 2 (52 – 2 = 50) and dividing the result by 5 (50/5 = 10), we got 10 which is our required answer.

To Find

Number = ?

Solution

Let suppose

Number = y

According to the given condition

(y – 4)/6 = 8

y – 4 = 8 x 6

y – 4 = 48

y = 48 + 4

y = 52

According to the second given condition

52 – 2 = 50

50/5 = 10

Required Number = 10 answer

Conclusion

If a number is decreased by 4 and divided by 6, the result is 8. The result would be 10 if 2 is subtracted from the number and then it is divided by 5.

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