Question

A two digit number contains the smaller of two digits in the unit's place. The product of the digits is 24 and the difference between the digits is 5. Find the number.​

Answer 1

Answer:

A two digit number contains the smaller of two digits in the unit's place. The product of the digits is 24 and the difference between the digits is 5. Find the number.

Step-by-step explanation:

A two digit number contains the smaller of two digits in the unit's place. The product of the digits is 24 and the difference between the digits is 5. Find the number

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Answer 2

☯ Let the digit in the unit's place be x.

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✦ Since the digit at unit's place is smaller and the difference between the two digits is 5, therefore, the digit at ten's place = x + 5.

• As the product of two digits is 24.

∴ (x + 5) x = 24

⟹ x² + 5x - 24 = 0

⟹ (x + 8) (x - 3) = 0

⟹ x + 8 = 0 or x - 3 = 0

⟹ x = -8 or x = 3

☆ But, x being a digit of a number cannot be negative so, x is 3.

∴ The digit at unit's place = 3 and the digit at ten's place = 3 + 5 = 8.

❖ Therefore,

• The required number is 83.

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