Question

E 5B
11. When a two-digit number is divided by the
sum of its digits, the quotient is 4. If the digits
are interchanged, the reversed number is 6
less than twice the original number. Find the
number.​

Answer 1

Answer:

24

Step-by-step explanation:

let the digits of number be x and y,

given, (10x+y)/(x+y) = 4

10x + y = 4x + 4y

6x - 3y = 0 (1)

and also, reverse is 6 less than twice the original

10y + x = 2×(10x+y) -6

19x - 8y = 6 (2)

solving equation 1 and 2,

x= 2, y=4

number= 10x + y = 24