Math, asked by anirudhchhatwa4293, 11 months ago

21y8 is a multiple of 6 , what is value of y is

Answers

Answered by rlalwani746
0

Answer:

2+1+y+8. multiple of 6

11+y. 6,12,18,24.....

11+1

11+7

value of y:1,7

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Answered by dplincsv
0

Step-by-step explanation:

Clearly, 21y8 has an even digit at units place. So, it is a multiple of 2.

Now,

21y8 will be a multiple of 3, if the sum of its digits. is a multiple of 3.

=> 2+1+y+8 is a multiple of 3

=> y+11 is a multiple of 3

=> y+11 = 0,3,6,9,12.......... (i)

But y is a digit. So, y can take values 0,1,2,3,4........,9

=> y+11 = 11,12,13.........,20. (ii)

From (i) and (ii), we have

=> y+11 = 12 or 15 or 18

=> y+11 = 12 or y+11 = 15 or y+11 = 18

=> y = 1 or 4 or 7.

Hence, y can take values 1 or 4 or 7.

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