Math, asked by akshay1190, 1 year ago

a two digit number is four times the sum of the digit it is equal to three times the product of the digits find the number

Answers

Answered by lilyrose
8

hey friend,

here is ur answer..

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.

hope it helps...

Answered by vikram991
0
here is your answer OK dude

in solution here ........

6x-3y=0

2x-y=0

2x=y

x=y/2 1

10x+y=3xy

5y+y=3y2/2

12y=3y2

3y2-12y=0

3y(y-4)

thwerefore y=4

2x=y

x=2

thereforwe the no is 24



hope this helps


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