Question

the ages of two students A and B are 19 years and 15 years respectively. find how many years it will take so that the product of their ages becomes equal to 480​

Answer 1

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Answer 2

Given : The ages of two students A and B are 19 years and 15 years respectively.

To find : How many years it will take so that the product of their ages becomes equal to 480?

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the required number of years)

Let, the product of their age becomes 480 after = x years

So, after x years :

• Age of A = (19+x) years
• Age of B = (15+x) years

According to the data mentioned in the question,

(19+x) × (15+x) = 480

285 + 15x + 19x + x² = 480

x² + 34x + 285 - 480 = 0

x² + 34x - 195 = 0

x² + 39x - 5x - 195 = 0

x(x+39) - 5(x+39) = 0

(x+39) (x-5) = 0

Either,

(x+39) = 0

x = -39

Or,

(x-5) = 0

x = 5

Now, number of years cannot be negative. That's why, we will omit, x = -39

Which means,

x = 5

So, the product of their ages becomes 480 after = x years = 5 years

(This will be considered as the final result.)

Hence, it will take 5 years so that the product of their ages becomes equal to 480