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The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number? (tens digit is greater than the unit digit)

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number? (tens digit is greater than the unit digit) Correct Answer 96

Let the number be 10x + y.

According to the question

x + y = 15     ----(i)

x – y = 3     ----(ii)

Add equation (i) and equation (ii)

2x = 18

⇒ x = 9

From equation (i)

⇒ y = 15 – 9

⇒ y = 6

∴Required number is 96.

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