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:

  1. 10
  2. 12
  3. 9
  4. None of these
Anurag Mishra Professor Asked on 7th January 2016 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 7th January 2016.
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