At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

A two digit number is 4 times the sum of its digits and twice the product of its digit.FIND THE NUMBER

Sagot :

x - tenths digit
y - units digit

[tex]10x+y=4(x+y)\\ 10x+y=2xy\\\\ 10x+y=4x+4y\\ 10x+y=2xy\\\\ 6x=3y\\ 10x+y=2xy\\\\ 3x=y\\ 10x+y=2xy\\\\ 10x+3x=2x\cdot3x\\ 13x=6x^2\\ 6x^2-12x=0\\ 6x(x-2)=0\\ x=0 \vee x=2\\\\ y=3\cdot2\\ y=6\\\\ 10\cdot2+6=\boxed{26}[/tex]