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ICSE Class 8 Answered

The sum of two numbers is 9. The difference in their squares is also 9.Find the number. 
Asked by Cl_narayan | 06 Feb, 2020, 06:23: PM
answered-by-expert Expert Answer
 
Let the smaller number = x and the larger number = 9 - x 
 
According to the condition, we get
 
(9 - x)2 - x2 = 9
→ 81 - 18x + x2 - x2 = 9
→ 18x = 72
→  x  = 4
Therefore, the two numbers are 4 and 5.
Answered by Yasmeen Khan | 06 Feb, 2020, 07:24: PM

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