Question
The HCF of two numbers is 18 and their sum is 162. What
is their LCM?Solution
Ā Let the two numbers be x and y. We know that their HCF is 18, which means that both x and y are multiples of 18.Ā Let x = 18a and y = 18b,Ā where a and b are integers.Ā We also know that x + y = 162.Ā Substituting the values of x and y,Ā we get 18a + 18b = 162, or a + b = 9.Ā We can say that according to the optionĀ If a = 5 and b = 4Ā Then we can say that numbers will beĀ 18 x 5 = 90 and 18 x 4 = 72Ā So the LCM of the numbers will beĀ LCM of 90 and 72 is 360.
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