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A three digit number is such that this number itself is divisible by the sum of its digits. The sum of hundreds and unit digits is 6 while the sum of the ten’s and unit’s digit is 5. What is the ratio of unit’s and ten’s digit?

A three digit number is such that this number itself is divisible by the sum of its digits. The sum of hundreds and unit digits is 6 while the sum of the ten’s and unit’s digit is 5. What is the ratio of unit’s and ten’s digit? Correct Answer 2 ∶ 3

Let the hundred’s place be ‘x’

Ten’s place be ‘y’

Unit’s place be ‘z’

⇒ Three digit number is = 100x + 10y + z

Given∶ x + z = 6, y + z = 5

We know the sum of unit’s and ten’s digit is 5, so their ratio must have a sum of 5

Among the options, only (3) matches

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