1
Question
The HCF of two numbers is 6 and their sum is 60. How many pairs of such numbers exist?
The HCF of two numbers is 6 and their sum is 60. How many pairs of such numbers exist?
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Solution
The correct option is B 2
Let the numbers be 6x & 6y where x & y are coprime to each other.
6x + 6y = 60
x + y = 10
Now, we have to find the pairs of the values of x & y which are coprime to each other.
Possible pairs are (1,9) & (3,7)
Let the numbers be 6x & 6y where x & y are coprime to each other.
6x + 6y = 60
x + y = 10
Now, we have to find the pairs of the values of x & y which are coprime to each other.
Possible pairs are (1,9) & (3,7)
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