# The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is?

### Computer MCQs Series for PPSC, FPSC – Most Repeated MCQs | Set 6

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## Explanation

• The sum of two numbers is 22.
• Five times one number is equal to 6 times the other.
• The bigger of the two numbers will be figure out in this way.

Let suppose the numbers are y and z.

Five times one number is equal to 6 times the other

5y = 6z

5y – 6z = 0 ________ (i)

The sum of two numbers is 22

y + z = 22 ________ (ii)

By solving equation (i) and (ii) simultaneously, we can easily find out the value of y (y = 12) and z (z = 10) in order to figure out the bigger number (y = 12).

## To Find

Bigger Number = ?

## Solution

Let suppose

Numbers are y and z.

According to the given conditions

y + z = 22 (multiplying the both sides with 5)

5y + 5z = 110 ________ (i)

5y – 6z = 0 ________ (ii)

Subtracting equation (ii) from (i)

5y – 5y + 5z + 6z = 110

11z = 110

z = 110/11

z = 10 (put in equation (ii)

5y – 6(10) = 0

5y – 60 = 0

5y = 60

y = 60/5

y = 12

## Conclusion

The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is 12.