Karishma listed all the factors of her age and her brother listed all the factors of his age. They found that the numbers 1, 2 and 3 were there in Both the lists. What could be their ages (in years)? *
1 point
12 and 16
9 and 12
18 and 12
10 and 12
Answers
Answer:
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Given: Karishma list all the factors of her age and her brother listed all the factors of his age. They found that the numbers 1,2 and 3 were there in both the lists.
To find: Their ages from the given options
Explanation: Checking the options given:
(a) 12 and 16
Here factors of 12 - 1,2,3,4,6,12
Factors of 16- 1,2,4,8,16
Here, 1,2 and 3 is not common in both.
(b) 9 and 12
Factors of 9 - 1,3,9
Factors of 12-1,2,3,4,6,12
Here, 1,2 and 3 is not common in both.
(c) 18 and 12
Factors of 18- 1,2,3,6,9,18
Factors of 12-1,2,3,4,6,12
Here, 1,2 and 3 are common in both.
(d) 10 and 12
Factors of 10-1,2,5,10
Factors of 12-1,2,3,4,6,12
Here, 1,2 and 3 are not common in both.
Therefore, their ages are option (c) 18 and 12 because only these two have the factors 1,2 and 3 in common.