present Mahesh's age (in years) is 2 more than the square of his son Varun's age. When Varun grows to his father's present age, Mahesh's age would be one year less than 10 times the present age of Varun. Using the above information answer the following questions. (1) Mahesh's present age is
Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer
Seven years ago. let Swati's age be x years. Then, seven years ago Varun's age was 5x
2
years.
Swati's present age =(x+7) years, Varun's present age=(5x
2
+7) years
Three years hence, we have
Swati's age (x+7+3) years =(x+10) years
Varun's age =(5x
2
+7+3)=(5x
2
+10)
It is given that three years hence Swati's age wil be
5
2
of Varun's age
∴x+10=
5
2
(5x
2
+10)
⇒x+10=2x
2
+4
⇒2x
2
−x−6=0
⇒2x
2
−4x+3x−6=0
⇒(2x+3)(x−2)=0
⇒x−2=0⇒x=2
Hence Swati's present age =(2+7) years =9 years
Varun's present age =(5×x
2
+7) years =27 years