product of Sunil age 2years ago and 3years hence is 34 find the present age
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Answer:
present age of Pragati = 9 years
Step-by-step explanation:
Let at present:
Pragati age = x years
2 years ago:
Pragati age = (x-2) years
After 3 years:
Pragati age = (x+3) years
according to the problem given,
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
Now,
age should not be negative.
Therefore,
present age of Pragati = 9 years
•••♪
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write your own I was given a example
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