Math, asked by shahivineeta31, 5 months ago

the sum of two number is 217 and their HCF is 27 . find the number ​

Answers

Answered by tania2004
0

HCF (X, Y) = 27

Thus, we can write, X = 27a & Y = 27b; where a & b are co-prime to each other.

Now, X+Y=216

=>27a+27b=216

=>a+b=8

So, we have two conditions with us now. (a + b) is 8 and a and b are co-prime to each other.

Possible pairs of a & b are: (1,7), (3,5)

Thus possible pairs of the numbers are (27, 189) & (81, 135)

Answered by preetikerketta04
0

Answer:

Let the no. be x and y in this case .

HCF (x,y)=27

Thus, we can write, x=27a and y=27b where a and b are co-prime to each other .

Now x+y= 217

=> 27a-27b=217

=> a+b= 8

So we have two conditions with us now. (a+b) is 8 and a and b are co-prime to each other.

-possible pairs of a and b = (1,7), (3,5)

Thus possible pairs of the no. are

(27,189) and (81,135).

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