Find all possible pairs of two natural numbers whose sum is 77 and their gcd is 7.
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Since both the numbers have a gcd of 7, they both are multiples of 7.
Therefore they are in the form 7x and 7y.
According to the question
7x+7y=77
x+y=11
(1,10),(2,9),(3,8),(4,7),(5,6),(6,5),(7,4),(8,3),(9,2),(10,1)
There there 10 pairs of two natural integers whose sum is 77 and their gcd is 7
Therefore they are in the form 7x and 7y.
According to the question
7x+7y=77
x+y=11
(1,10),(2,9),(3,8),(4,7),(5,6),(6,5),(7,4),(8,3),(9,2),(10,1)
There there 10 pairs of two natural integers whose sum is 77 and their gcd is 7
Raghul101:
The hcf of(x,y)=1 then hcf of(x-y,x+y)=? is this your question
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I got the answer for your 15th question to be 13,090
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