Question

32 times of a two digit number is 23 times the number obtained by reversing its digit. The sum of its digit is 15 find the number:

Answer 1

Answer:

The number is 69.

Step-by-step explanation:

The sum of the digits is 15 for a two digit number. So we have two possibilities 78 and 69. Now considering the unit digits of 78x32 and 87x23, which are not same. So this number is not possible.

But, multiplying 69x32 amd 96x23 gives same unit digit which is 8. Now to check let's multiply 69 with 32 we get 2208 and by reversing we will get 96 when multipled with 23 gives 2208.

So 69 is the answer.

Answer 2

Answer:

let the ones place is x and tens place is y

sum of digit = x+y=15.........1

now 10 multiply to tens place and 1 multiply to ones place

then =(10y+x)32

when reversing its didgi

then =(10x+y)23

now

(10y+x)32=(10x+y)23

320y+32x=(230x+23y)

320y-23y=230x-32x

297y=198x

x=297y/198.........2

putting value of x in eq 1

297y/198+y=15

297y+198y/198=15

495y=15×198

495y=2970

y=2970/495

y=6

putting value of x in eq 1

x+6=15

x=9

( because let the ones place is x and tens place is y)

then (10y + x)

10×6+9

=69is the number