Question

a two digit number is 4 times the sum of its digits and also equal to twice the product of its digits. find the number. answer fast...

Answer 1

10x+y = 4(x+y) = 2xy

Answer 2

Let x and y be the digits at ten's and unit's place respectively. Then,

$\sf{10x+y=4(x+y)}$

$\sf{6x=3y}$

$\sf{y=2x}$

and $\sf{10x+y=2xy}$

$\longrightarrow$$\sf{10x+2x=2x×2x={4x}^{2}-12x=0}$

$\longrightarrow$$\sf{4x(x-3)=0}$

$\longrightarrow$$\sf{x=3}$

$\therefore$ $\sf{y=2x=6}$

Hence, the required number = 10x + y = 36.