Question

the sum of two numbers is 629 and their HCF is 37. Find the number of pairs atysfying the above condition .​

Answer 1

Answer:

so , 37 x + 37 y = 629 x + y = 17 so , possible values are 1 , 16 2 , 15 3 , 14 4 , 13 5 , 12 6 , 11 7 , 10 8 , 9 now , we will not write 9 , 8 or 10 , 7 as it will form the same number formed by above pair . Therefore , 8 pairs are satisfying the condition .

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Answer 2

Answer:8

Step-by-step explanation:37x +37 y =629

On solving, x+y=17

So the various possible values are

16,1

15,2

14,3

13,4

12,5

11,6

10,7

9,8

Now, we will not write them as the reverse since the result is the same in both the cases.

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