Akshay is 2 years elder than John. If the product of their ages is 2208, then find their present ages.
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hey mate here your answer
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vaishu77:
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The present age of Akshay is 48 years and John's age is 46 years.
- Akshay is 2 years older than John.
- Let the present age of John be x years.
Therefore , present age of Akshay will be (x+2) years.
- Product of the ages is 2208.
- Therefore,
x (x+2) = 2208
x² + 2x = 2208
x² + 2x -2208 = 0
x² + 48x - 46x - 2206 = 0
x(x + 48) - 46 (x + 48) = 0
(x+48)(x-46) = 0
Therefore , x = 46 and x = -48
- As age cannot be negative , x = 46
- John's age is 46 years.
- Therefore, Akshay's age will be 48 years.
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