Question
Download Solution PDFTwo numbers are such that their product is equal to 21 and the sum of their squares is 58. find the difference between the two numbers
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
a2 + b2 = (a - b)2 + 2ab
Calculation:
Let's assume that the two numbers are A and B, ATQ, A × B = 21 … (i)
Again, A2 + B2 = 58
⇒ (A - B)2 + 2AB = 58
⇒ (A - B)2 + 2 × 21 = 58 [ putting the value of AB from (i) ]
⇒ (A - B)2 = 16
⇒ (A - B) = √16
⇒ (A - B) = 4
∴ The difference between the two numbers is 4
Last updated on Jun 12, 2025
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