Question

A two digit number is four times the sum and three times the product of its digits.Find the number.

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Answer 1

Answer:

➝24.

Step-by-step explanation:

↣Let the unit place of number be 'x'

↣& tens place be 'y'

↣Then the number = 10y+x

A/q

$↣10y + x = 4(x + y) \\ ↣10y + x = 4x + 4y \\ ↣10y - 4y + x - 4x = 0 \\ ↣6y - 3x = 0 \\ ↣6y = 3x \\↣ 2y = x...............(a) \\ ↣10y + x = 3xy \\ ↣putting \: value \: of \: x \: from \: eqn. \: (a) \\ ↣10y + 2y = 3 \times 2y \times y \\ ↣10y + 2y = {6y}^{2} \\ ↣12y - {6y}^{2} = 0$

$6y(2 - y) \\ ↣(6y = 0)↣(2 - y = 0) \\ ↣(y = 0) ↣(y = 2) \\↣ y = 2$

$↣x = 2y \\ ↣x = 2 \times 2 \\ ↣x = 4$

Then the number:-

10y+x

↣24

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↣Original answer☑

↣Hope it helps you✓

Answer 2

The above answer is correct