A two digit number is four times the sum of its digits. It is also equal to 3 times the product of its digits. Find the number.
Answers
Answered by
3
let number be xy
(x+y)4= 10x+y (as given)
x= y/2 (by solving above equation)
3xy = 10x+y (as given)
3* y/2*y =10*y/2 + y (substituting)
3y^2/2 = 12y/2
3y^2= 12y
3y( y- 4) =0
y= 4
x= 2
so number is 24 answer
proof:
24= (2+4)*4 = 24
24 = 3*2*4 = 24
hope this helps!!
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(x+y)4= 10x+y (as given)
x= y/2 (by solving above equation)
3xy = 10x+y (as given)
3* y/2*y =10*y/2 + y (substituting)
3y^2/2 = 12y/2
3y^2= 12y
3y( y- 4) =0
y= 4
x= 2
so number is 24 answer
proof:
24= (2+4)*4 = 24
24 = 3*2*4 = 24
hope this helps!!
PLEASE DO MARK AS THE BRAINLIEST!!!!!!!!!
Answered by
1
Let the number be xy-----10x+y=4(x+y)
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
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
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