Question

A two digit number is four times the sum of the digits and twice the product of the digits.
Find the number.
Please help me solve this question fast ☺️

Answer 1

let the digits be x and y

let x is in the tens place then it become 10x
let y is in once place the it will become
1y

the original number will be 10x+y

from the question

10x+y=4(x+y)
10x+y=4x+4y
10x-4x+y-4y=0
6x-3y=0
2x-y=0
2x=y. ..............eq-1

again according to question

10x+y=2(xy)

Putting value of y=2x from eq-1

10x+2x=2x(2x)
12x/2x=2x
6=2x
x=3

if x=3 then y=?
2x=y
y=6

the number is 36

Hope it helped you :))