Question

The sum of the digit of three digit numberis 15 . The digit at tens place is half of the sum of digits of the hundreds and units places. If 396 is added to the number the digits at the hundreds and units place are interchanged. Find the number?​

Answer 1

here is your answer mate .

i have used all the given condition by question

Answer 2

X+y+z=15 (given)

x+z=2y

Substituting this in the given equation.

3y=15

y=5

Now,

x+z=10 using the formula x+z=2y.

Now the main part.

The three digit number can be written as

100x+10y+z.

According to them, 100x+10y+z+396=100z+10y+x.

Solving this you'll get

99x-99z=-396

that is x-z=-4

but x+z=10

Solving these two equations we get,

x=3 and z=7

Therefore the required number is 357.

Verification:-

357+396=753.

I hope you will understand this explanation. If you like it please mark my answer as brainliest.