the two numbers are in the ratio of 2:3 and the product of their HCF and LCM is 33750, the sum of this number is
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Answer:
The sum of the two numbers is 375.
Solution:
Let the two numbers be 2x and 3x.
Then, 2x * 3x = 33750
6x^2 = 33750
x^2 = 33750 / 6
x^2 = 5625
x^2 = 5^4 * 3^2
x = 5^2 * 3 = 75
Applying the x value we get,
2(75) = 150
3(75) = 225
The sum of the numbers = 150 + 225 = 375
Hence the sum of two numbers is 375.
The sum of the two numbers is 375.
Solution:
Let the two numbers be 2x and 3x.
Then, 2x * 3x = 33750
6x^2 = 33750
x^2 = 33750 / 6
x^2 = 5625
x^2 = 5^4 * 3^2
x = 5^2 * 3 = 75
Applying the x value we get,
2(75) = 150
3(75) = 225
The sum of the numbers = 150 + 225 = 375
Hence the sum of two numbers is 375.
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