Question

The ratio of the two number is 15 is to 11 if their hcf is 13 then the number are

Answer 1

Answer:

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Step-by-step explanation:

ratio of the num = 15: 11

HCF = 13

thus the num are, 15*13 = 195 AND 11*13 = 169

Answer 2

Since the ratio of the two numbers is 15 : 11, let the numbers be 15x and 11x.

The highest common factor (HCF) of two numbers is the highest number by which the two numbers can be exactly divided.

Among 15x and 11x, since 15 and 11 are relatively prime to each other (two numbers are relatively prime if their HCF is 1), their HCF is nothing but x, which is given in the question as 13.

Thus, x = 13.

Hence the numbers are 15 × 13 = 195 and 11 × 13 = 143.

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