Two numbers hcf is 9 and lcm is 252. What is the sum of the number
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Since their HCF is 9, let the numbers be 9m and 9n Now apply the formula.
(Also note that m and n are coprime, i.e. gcd (m, n) -1)
You'll get 9mx9n-9x252mn-28; m, nEN
Now the possible unordered pairs of (m, n) are (7,4); (14,2)
Therefore, possible sum of the numbers are
(7x9) + (4x9) - 99 or (14x9) + (2x9 ) - 144
So, the numbers are 99 and 144.
hope it helps you......
(Also note that m and n are coprime, i.e. gcd (m, n) -1)
You'll get 9mx9n-9x252mn-28; m, nEN
Now the possible unordered pairs of (m, n) are (7,4); (14,2)
Therefore, possible sum of the numbers are
(7x9) + (4x9) - 99 or (14x9) + (2x9 ) - 144
So, the numbers are 99 and 144.
hope it helps you......
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