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
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...
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