Fill in the following boxes so that the four numbers are in proportion.
(a) 32.6.12
(b) 21, 27, 14,
(c) 15.) 27.36
(d) 33, 132, 16
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Fill in the following boxes so that the four numbers are in proportion.
(a) 32.6.12
(b) 21, 27, 14,
(c) 15.) 27.36
(d) 33, 132, 16
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Answer:
Let’s say, 24x is a multiple of 3.
Then, according to the divisibility rule of 3, the sum of all the digits should be a multiple of 3.
2+4+x = 6+x
So, 6+x is a multiple of 3, and 6+x is one of these numbers: 0, 3, 6, 9, 12, 15, 18 and so on.
Since, x is a digit, the value of x will be either 0 or 3 or 6 or 9, and the sum of the digits can be 6 or 9 or 12 or 15 respectively.
Thus, x can have any of the four different values: 0 or 3 or 6 or 9.