Question

The sum of the digits of a two digit number is multiplied by 8. The result is 8 more than the 2-digit number. Find the
number

Answer 1

it can be mentally calculated that the 2-digit number =32

Answer 2

but let us form equations and solve it

Answer 3

let the digit in the unit place be x and that in the tenth place be y

then we can say the reqd 2-digit number is 10y+x
now as per the problem
y+x=8 (eq 1)
and 8*(x+y) = 10y+x +8
8x+8y=10y+x+8
8x-x +8y -10y =8
7x -2y =8 (eq 2)

just solve (eq 1) & (eq 2)
get the values of x and y
and plug them in 10y+x

Answer 4

x= 8/3
y= 16/3
The required two-digit number = 10y+x=56

Answer 5

how do u got 32 answer.
@matricked