Question

The product of a 3 digit no. With its ten's place digit is 3888 find the no.

Answer 1

could you please tell the answer the detail

Answer 2

Answer:

Three Digit number is 486.

Step-by-step explanation:

Let us assume lmn is the required number,.

So, we have

lmn × m = 3888

Now,

n × m = x8 .........(1)

m × m  + x = y8 .............(2)

l × m + y = 38 ..............(3)

Since All digits are even.

For (1), we have

n = 2 or 6  then m = 4 or 8

2 × 4 = 08   or 6 × 8 = 48  

for (2) ,we have

if m = 4 then 4 × 4 + 0 = 16. so, it is not accepted

if m = 8 then 8 × 8 + 4 = 68. so it is accepted

After this we have n = 6 and m = 8

Now, from (3)

we have l × 8 + 6 = 38

8l = 38 -32

8l =  6

l = 4

Therefore, Three Digit number is 486.