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:

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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Answer 2

Step-by-step explanation:

Answer:

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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