A two digit number is four times the sum of the digits. It is also equ

1.	A two digit number is four times the sum of the digits. It is also equal to 3 times the product of digits. Find the number.
Answer» Let the ten’s digit be x and unit’s digit = y Number = 10x + y 10x + y = 4(x + y) ⇒ 6x = 3y ⇒ 2x = y Again 10x + y = 3xy 10x + 2x = 3x (2x) ⇒ 12x = 6x² ⇒ x = 2 (rejecting x = 0) 2x = y ⇒ y = 4 The required number is 24

A two digit number is four times the sum of the digits. It is also equal to 3 times the product of digits. Find the number.

Answer»

Let the ten’s digit be x and unit’s digit = y

Number = 10x + y
10x + y = 4(x + y) ⇒ 6x = 3y ⇒ 2x = y

Again 10x + y = 3xy

10x + 2x = 3x (2x) ⇒ 12x = 6x² ⇒ x = 2 (rejecting x = 0)

2x = y ⇒ y = 4

The required number is 24

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A two digit number is four times the sum of the digits. It is also equal to 3 times the product of digits. Find the number.

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