NIMCET 2012 Question Paper with solutions

Question : 83 of 120

Marks: +1, -0

The ratio between a two-digit number and the sum of the digits of that number is 4 : 1. If the digit in the unit’s place is 3 more than the digit in ten’s place, then the number is

Validate

Solution:

Let the ten’s place digit = x,
then By condition the unit place digit = x + 3
Now, according to question

{10x+(x+3)}/{x+x+3}

4/7

⇒

{1+x+3}/{2x+3}

4/7

⇒ 1 + x + 3 = 8x + 12
⇒ 3x = 9 ⇒ x = 3
∴ Required number = x (x + 3) = 3 (3 + 3) = 36

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