Let a + b = 85?b = 85 ?a
LCM(a,b) =102?ab = 102
k?a(85 ?a) = 102k, where k is a natural number.
Ans.
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159
Ans.
5 = 3 + (13 + 1)
15 = 5 + (23 + 2)
45 = 15 + (33 + 3)
113 = 45 + (43 + 4)
? = 113 + (53 + 5), i.e. ? = 243
Ans.
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9
Let larger number be x and smaller number be y.
Also, y = 10
According to question,
?(x + y) = 3((x ?y)?(x + 10) = 3(x ?10)
?2x = 40?x = 20
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