14. If the HC orthe value of x.15. If d is the HCF of 63 and 81, find

1.	14. If the HC orthe value of x.15. If d is the HCF of 63 and 81, find x and y satisfying d = 63x + 81y. Also showthat r and y are not unique.out of 40 bananas, 24 oranges and 16 pineapples.be of
Answer» By using :a = bq + r 81 = 63 * 1 + 1863 = 18 * 3 + 918 = 9 * 2 + 0H.C.F = 9 = 63 - ( 18 * 3 )= 63 - 318= 63 - 3 [ 81 - ( 63 1 ) ]= 63 - 3 [ 81 - 63 ]= 63 - 81(3) + 63(3)= 63(4) + 81(-3) So, In63x + 81yx = 4andy = -3Answer

14. If the HC orthe value of x.15. If d is the HCF of 63 and 81, find x and y satisfying d = 63x + 81y. Also showthat r and y are not unique.out of 40 bananas, 24 oranges and 16 pineapples.be of

Answer»

By using :a = bq + r 81 = 63 * 1 + 1863 = 18 * 3 + 918 = 9 * 2 + 0H.C.F = 9

= 63 - ( 18 * 3 )= 63 - 3*18= 63 - 3 [ 81 - ( 63 * 1 ) ]= 63 - 3 [ 81 - 63 ]= 63 - 81(3) + 63(3)= 63(4) + 81(-3)

So, In63x + 81yx = 4andy = -3Answer