if HCF (12,a)=6 and LCM (12,a)=60 find a
To find the value of 'a', we can use the relationship between the highest common factor (HCF) and the least common multiple (LCM) of two numbers.
The relationship is as follows:
HCF(a, b) * LCM(a, b) = a * b
In this case, we know that HCF(12, a) = 6 and LCM(12, a) = 60. Let's substitute these values into the equation above:
6 * 60 = 12 * a
Now, we can solve for 'a' by dividing both sides of the equation by 12:
360 = 12a
Divide both sides by 12:
30 = a
Therefore, the value of 'a' is 30.