Q4
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A.
12, 24, 36
AnswerB.
11, 22, 33
C.
12, 24, 32
D.
5, 10, 15
Answer: Option A
Solution
Answer: Option A
Solution:
Since, the numbers are given in the form of ratio that means their common factors have been cancelled.Each one's common factor is HCF.
And here HCF = 12,
hence, the numbers are 12, 24 and 36.
Alternatively, Let the numbers be x, 2x and 3x.
The HCF in x, 2x and 3x is x because 1, 2, 3 are prime.
Hence,
x = 12; then the other numbers are 24 and 36.