Question

16 questions please give answers

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Answer 1

Step-by-step explanation:

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The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.

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Let one number = x

Second number = x + 3 [Difference of two numbers is 3]

According to the statement,

(x + 3)² – (x)² = 69

⇒ (x)² + (3)² + 2 × x ×  3 – x² = 69

⇒ x² + 9 + 6x – x² = 69

⇒ 6x = 69 – 9

⇒ 6x = 60

⇒ x = 60/6

⇒ x = 10

One number = 10

Second number = x + 3 = 10 + 3 = 13