Question

Question is in the picture.
And it's answer is 860.
But I don't understand that how can I silve this Question.
PLZ GIVE ME STEP-BY-STEP EXPLANATION PLZ..
And plz don't Cop.y and past.e Plz Plz Plz Plz..
AND PLZ DON'T SPAM PLZ PLZ..​

Answer 1

Answer:

it is your answer

Step-by-step explanation:

Since the number contains three digits, it has a hundreds place, a tens place and a ones place.

It is given that the right most digit is O. Let the digits in the hundreds place and tens place be x and y respectively. Thus, the number is

100x+ 0=100x+10y.

It is also given that if the digits in the hundreds place and tens place are interchanged, the difference between the original number and the new number after interchange is 180.

=>100x+10y-(100y+10x)=180

=>100x+10y-100y-10x=180

=>90x-90y=180

=>x-y=2

It is also given that if the digit in the hundreds place is halved and digits in tens place and ones place are interchanged, the difference between the original number and the new number after interchange is 180.

=>100x+10y-(100x/2+0+y)=454

=>100x+10y-50x-y=454

=>50x+9y=464

Multiplying both sides of Eqn (i) by 50, we

get

50x-50y=100

Eqn(i)-Eqn(ii)=>(50x-50y)-(50x+9y)=100-454

=>50x-50y-50x-9y=-354

=>-59y=-354

=>y=6

Now, substitute the value of y in the equation x-y=2.

=>X-6=2

=>x=8

Therefore, the three digit number xy0-860.