# What is the smaller number:

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

- 10
- 12
- 9
- None of these

**Answer: (1) 10 **

**Explanation:-**

Let two numbers be X and Y

The sum of numbers is 22.

Then, X + Y = 22 ……………………………. (1)

Five times one number is equal to 6 times the other.

Then, 5 X = 6 Y

5 X – 6 Y = 0 ………………………. (2)

Equation (1) is multiply by 6,

Then, 6 X + 6 Y = 132 …………………………… (3)

Add equation (2) & (3)

5 X – 6 Y + 6 X + 6 Y = 132 + 0

11 X =132

X = 132/11

X = 12

Put the value of X 12 in equation (1),

Then, 12 + Y = 22

Y = 22 – 12

Y = 10

So, the smallest number is 10.

Hence, the correct answer is option (1) 10.