Math, asked by Amitava, 1 year ago

The sum of two numbers is 324 and their HCF is 9. Find the numbers.

Answers

Answered by lalitgupta8889oyld6x

Let the two numbers be 'x' and 'y' respectively.then,
x+y=324
9 is their HCF
so each no. must be divisible by 9, where x and y are coprime.
so let x=9a and y= 9b ;
now, 9a + 9b=216
a + b =324/9
a + b=36
There are two pairs (x, y) which satisfy the condition, (13,23) and (5,31). The possible answers are (117, 207) and (45, 279).

Amitava: But the answer is (315,9)

lalitgupta8889oyld6x: As there are other pairs too which satisfy the equation.... but I just gave you some of the pairs.

lalitgupta8889oyld6x: As the answer is ( 315,9), the other pair can be (35,1).

Amitava: many many thanks

Answered by himanshusharma12221

Answer:

Let the two numbers be 'x' and 'y' respectively.then,

x+y=324

9 is their HCF

so each no. must be divisible by 9, where x and y are coprime.

so let x=9a and y= 9b ;

now, 9a + 9b=216

a + b =324/9

a + b=36

There are two pairs (x, y) which satisfy the condition, (13,23) and (5,31). The possible answers are (117, 207) and (45, 279).

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