Question

the sum of two numbers is 1660 and HCF is 20 find the numbers.

Answer 1

Let the numbers be 20a and 20b because 20 is the HCF, so HCF is the highest common factor by which both the numbers can be divided..

Now, 20a + 20b = 1660 (Given in question)

a + b = 83

Now, look for co-primes numbers that make the sum 83..(Co-primes are the pair of prime numbers whose HCF is 1 like (3,5), (5,8), means you can not divide two numbers by One single number or having no common factor between them)...
You will have your answer...

Answer 2

lol which is???

Answer 3

Sorry, it is not neccessary that numbers will be prime..
Co-prime are the pair of numbers (not neccessarily prime) whose HCF is 1...

Answer 4

There are a couple coprime pairs. I was wondering if this question was supposed to have only one answer or not.

Answer 5

r u sure the question is right? because 20*20+20*20=800 which is the highest possible sum you cud get with a HCF of 20

Answer 6

jeomath what are they???

Answer 7

I also, think there is something went wrong in question given...

Answer 8

(1, 82) (2,81) (3,80), those are some coprime pairs.

Answer 9

the question is wrong

Answer 10

just to confirm, HCF is the same as GCD right?

Answer 11

But, HCF of every one is not 20...
So, I think question is wrong...

Answer 12

dere are no two numbers with an HCF of 20 dat can add up to 1660, because 20*20+20*20= 800 cant go over 800 without a higher HCF

Answer 13

1600 + 60 = 1660, and the HCF of 1600 and 60 is 20.

Answer 14

Ya Highest Common Factor And Greatest Common Divisor are the one and the same thing...

Answer 15

40 is a factor of 1600

Answer 16

ohh true sorry

Answer 17

i was wrong

Answer 18

20+ 1640 = 1660, HCF is again 20.

Answer 19

40+ 1620 = 1660, again HCF is 20, theres not a unique answer.

Answer 20

Oh sorry. (80, 3) is the perfect pair which makes the sum = 83...

Now the numbers were 20a = 20*8 = 1600
and second number is 20b = 20*3 = 60 is the answer...

Answer 21

But as (81,2) is also a pair which satisfies the same condition, so this question is not having a unique or particular answer...

Answer 22

the nos. can be written as 20a and 20b
so here is it ,
20a + 20b = 1660
=> a + b = 83
a and b can take any value like if a=1,b=82 ie nos are 20 and 1640
but a and b should be co-prime