please help me solve this question
Answers
Answer:
Step-by-step explanation:
If 1x3y6 is divisible be by 18, then 1x3y6 should also be divisible by the factors of 18 i.e 2,3,6,9.
Since the last digit of the number is 6 and 6 being an even number, it will be divisible by 2.
If the sum of the digits is divisible by 3, then the number will be divisible by 3.
Therefor-:
=>1+x+3+y+6
=>10+x+y
=>10+x+x+6 [y=x+6]
=>16+2x
Now 16+2x should be divisible by 3 keeping in mind that "y" should be a single digit.
Hence when x=1
=>16+2 = 18 [divisible by 3]
=>y=7
When x=4
=>16+8 = 24 [divisible by 3]
=>but y=x+6 = 10 {not possible because y should be between 0-9}
Therefor only one value of "x" is possible which is "x=1" . Moreover this value will make the number divisible by 6 & 9 as well.
Y/X = 7/1 = 7 {Answer}