مو Product of 아 hence is 84 pragating age 2 yrg ago 4 3 yrs find her present age
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Answer:
Product of Pragati's age 2 years ago and 3 years hence is 84. But age cannot be negative so, x = 9. Thus, Pragati's present age is 9 years.
Step-by-step explanation:
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Let the present age of Pragati be x years
2 years ago:
- Pragati age = (x-2) years
After 3 years:
- Pragati age = (x+3) years
According to the Question
Product of ages = 84
- (x-2)(x+3)=84
- x(x+3)-2(x+3)=84
- x²+3x-2x-6-84=0
- x²+x-90=0
Splitting the middle term,we get
- x² +10x-9x-90=0
- x(x+10)-9(x+10)=0
- (x+10)(x-9)=0
- x+10=0 Or x-9 = 0
- x = -10 Or x = 9
[ Age can't be negative ]
Therefore,
- Present age of Pragati = 9 years
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