gauri was 25 years old when her son was born. if the product of theie age now is 600.find their present ages. also find the age of guari husband who is 5 yeats older than gauri
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Given:
The product of the age of Gauri and her son is 600.
To find:
Their present ages. also find the age of Gauri's husband who is 5 years older than Gauri.
Solution:
1) Let the present age of Gauri's son is x years
then the age of Gauri is (25+x)years
as per the condition of the question:
- x(25+x) = 600
- x²+25x-600 = 0
- x²+40x-15x-600
- x(x+40)-15(x+40)=0
- (x-15)(x+40)=0
we get
x= 15 and -40 ( we neglect the -40 because the age can never be negative)
2) So,
- the age of the Gauri's son is 15 years
- Age of gauri is 25+15 = 40 Years.
- The age of Gauri's husband = 40+5 = 45 years.
The age of Gauri= 40 years, Gauri's son = 15 years, and Gauri's husband= 45 years.
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