2 numbers are in the ratio 15:11.if their hcf is 13 and lcm is 2145,find the numbers
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Two numbers are in the ratio of 15:11
So lets suppose that first number is 15x
=> Second number is 11x.
We know that when we are given two numbers,
HCF × LCM = Product of two numbers
=> 2145×13 = 15x × 11x
=> 15x × 11x = 2145×13
=> x^2 = (2145×13)/(15×11)
=> x^2 = (143×13)/11
=> x^2 = 169
=> x = 13
●So the first number is 15×13 = 195
●So the second number is 11×13 = 143
Hope It Helps.
Two numbers are in the ratio of 15:11
So lets suppose that first number is 15x
=> Second number is 11x.
We know that when we are given two numbers,
HCF × LCM = Product of two numbers
=> 2145×13 = 15x × 11x
=> 15x × 11x = 2145×13
=> x^2 = (2145×13)/(15×11)
=> x^2 = (143×13)/11
=> x^2 = 169
=> x = 13
●So the first number is 15×13 = 195
●So the second number is 11×13 = 143
Hope It Helps.
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