The ratio of the sum to the LCM of two natural numbers is 7:12. If their HCF la 4, then the smaller number is :
The ratio of the sum to the LCM of two natural numbers is 7:12. If their HCF la 4, then the smaller number is :
1). 20
2). 16
3). 12
4). 8
2 answers
Let the numbers be 4x and 4y where x and y are prime to each other
LCM = 4xy $\frac{4x+4y}{4xy}$
= $\frac{7}{12}$ 12 (x + y)
= 7 xy x = 3, y = 4
Smaller number = 4 × 3 = 12
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