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ICSE Class X Math 2014 Solved Paper

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If ‌
x2+y2
x2−y2
=‌
17
8
, then find the value of:
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Question : 24
Total: 52
‌
x3+y3
x3−y3
Solution:  
As ‌
x
y
=‌
5
3
Cubing both sides, we get
‌
x3
y3
=‌
(5)3
(3)3
=‌
125
27
Applying componendo and Dividendo
‌‌
x3+y3
x3−y3
=‌
125+27
125−27
⇒‌‌‌
x3+y3
x3−y3
=‌
152
98
⇒‌‌‌
x3+y3
x3−y3
=‌
76
49
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