Question

two numbers are in the ratio of 2:9. if their h. c. f. is 19, numbers are:

Answer 1

Answer:

Step-by-step explanation:

LET THE NOS. BE X AND Y

X/Y = 2/9

HCF = 19

2 × 19 /9×19 = X AND Y RESPECTIVELY 38 =X AND 171 =Y

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Answer 2

The number are 38 and 171.

Step-by-step explanation:

Consider the provided information.

Let the number be 2x and 9x

LCM×HCF = product of two numbers

LCM×19=2x×9x

LCM=$\frac{18x^2}{19}$

LCM of 2x and 9x is 18x .

Substitute the value of LCM in above equation.

$18x=\frac{18x^2}{19}$

$x=19$

Substitute the value of x in 2x and 9x

Hence, the number are 38 and 171.

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