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Present age of mother of Manish is 1 year more than 5 times the present age of Manish. Four years before If the product of their ages was 22 then find the present age of Manish and his mother.
Answers
Step-by-step explanation:
let
present age of Manish = x
present age of Manish's mother = 5x + 1
Manish's age four years ago = x - 4
Manish's mother's age four years ago = 5x + 1 - 4
= 5x - 3
given that (5x - 3) * (x-4) = 22
=> 5x² - 20x - 3x + 12 = 22
=> 5x² - 23x - 10 = 0
=> 5x² - 25x + 2x - 10 = 0
=> 5x(x - 5) + 2(x - 5) = 0
=> (5x + 2)(x - 5) = 0
=> x = -2/5 ×
=> x = 5 √
therefore Manish's present age = 5 years
Manish's Mother's present age =5*5+1 = 26 years
Answer:
26 years
Step-by-step explanation:
Let
present age of manish= x
present age if manish's mother=5x+1
manish's age 4 years ago=x-4
manish's mother age 4 years ago=5x+1-4
=5x-3
given that(5x-3)×(x-4)=22
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Therefore manish's present age =5 years
manish's mother present age =5×5+1
=26 years