Question

ANSWER THE FOLLOWING QUESTION :

• Guess the value of X , Y , Z :

X Y Z + X Y Z + X Y Z = Y Y Y

( HINT : VALUE OF X = 1 )​

Answer 1

Step-by-step explanation:

x=1

YZ+YZ+YZ =YYY

3YZ=YYY

Z=YY/3

Answer 2

Answer:

XYZ + XYZ +XYZ = YYY

We can assume 10 possible combination of numbers with same digits. It can be either 000 or 111 or 222 or 333 or 444 or 555 or 666 or 777 or 888 or 999

The above equitation can be written as, 3 x (XYZ) = YYY

Thus if we divide each of the above possible 3 digit combination by number 3, there must be a number which will have the same middle digit repeating 3 times. Therefore, dividing each of the above three digit numbers by 3 you will get, 0, 37, 74, 111, 148, 185, 222, 259, 296, 333 respectively

Now, The only solution wherein the “middle digit”, i.e, Y is repeating in the answer is 148. Here you can see, the middle digit 4 in 148 is repeated in the answer, when you multiply by 3 [i.e 3X 148 = 444]

Similary, if you have a question XYZ + XYZ + XYZ = ZZZ

i.e, 3 XYZ = ZZZ

The only solution wherein the “end digit”, i.e, Z is repeating in the answer is 185. Here you can see, the end digit 5 in 185 is repeated in the answer, when you multiply by 3 i.e, 3 X 185 = 555