the product of sunita age two years ago and her age four years from now is one more than twice her present age. what is her present age
HARSH2001:
and can u tell me I should refer any books or questions paper for psa
Answers
Answered by
82
Let her present age be x.
Two years ago:- x-2.
four years from now:- x+4.
one more than twice her present age:- 1+2x.
(x-2)(x+4)=1+2x.
x²+4x-2x-8=1+2x.
x²+2x-2x-8-1=0.
x²-9=0.
x²=9.
Therefore, x= plus or minus 3.
Age cannot be negative.
Therefore, x=3.
Therefore, her present age is 3 years.
Thank you.
Hope this will help you.
Two years ago:- x-2.
four years from now:- x+4.
one more than twice her present age:- 1+2x.
(x-2)(x+4)=1+2x.
x²+4x-2x-8=1+2x.
x²+2x-2x-8-1=0.
x²-9=0.
x²=9.
Therefore, x= plus or minus 3.
Age cannot be negative.
Therefore, x=3.
Therefore, her present age is 3 years.
Thank you.
Hope this will help you.
Answered by
19
Sunitha ' s present age = x
sunitha ' s age before 2 years= x-2
Sunitha ' s age after 4 years = x+4
product = (x-2)(x+4)
= x^2 + (4-2 ) x -8
Product = 1 +2x (given)
= x^2 + (4-2 ) x -8 = 1 +2x
x^2 + 2x-8=1+2x
x^2= 1 +2x-2x+8
=9
X = root9
=3
Therefore sunitha ' s present age is 3years
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