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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
Bigger Number = 12 answer
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.
