Math, asked by Rana2003, 1 year ago

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

Answers

Answered by yashshaw91
9

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Answered by george1237
5
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A two digit positive integer can be expressed as 10x+y, where x is the tens digit and y is the ones digit.  For example, 37 = 3(10)+7.

So, 10x+y = 4(x+y)  and 10x+y = 3xy

10x+y = 4x+4y

6x = 3y

y = 2x

Since y = 2x and 10x+y = 3xy, we have 10x+2x=3x(2x)

12x = 6x2             6x2-12x = 0

6x(x-2) = 0   x = 0 or x = 2

Since x can't be zero, x = 2

y = 2x = 4

The number is 24.

I hope it may help you

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