Question

If a two-digit number is k times the sum
of its digits. If the number formed by
interchanging the digits is m times the
sum of the digits, then the value of m is

Answer 1

Answer:

I think it is 11 - k

Step-by-step explanation:

Let's say that initially the tens digit is a and units digit is b

ATQ,

10a + b = k(a+b) ............................. (i)

After reversing:

10b + a = m(a+b) ............................. (ii)

Adding (i) and (ii)

11a + 11b = k(a+b) + m(a+b)

11(a+b) = (m + k)(a+b)

11 = m+k                            [Dividing both sides by a+b]

m = 11 - k