Question

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

Answer 1

Answer:

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Step-by-step explanation:

Let the unit digit and tens digit of the two digit number be x and y respectively. Number = 10y + x = 10 × 2 + 4 = 24. Hence, the required number is 24.

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Answer 2

Answer:

24

Step-by-step explanation:

Let the two digit number be 10y+x

it is given that 10y+x=4(x + y)........ (1)

and 10y+x=3xy...(2)

So, 10y+x=4x+4y and  

⇒63y=3x

⇒2y=x

Substituting in (2)

10y+2y=6y^2

⇒12y=6y^2

⇒2=y

⇒x=4

∴ The number is 10×2+4=24

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