. Represent the following situations in the form of quadratic equations: Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

Question

Harshit Singh · Answer

Dear student

Let us consider,
Age of Rohan’s = x years
Therefore, as per the given question,
Rohan’s mother’s age = x + 26
After 3 years, Age of Rohan’s = x + 3
Age of Rohan’s mother will be = x + 26 + 3
= x + 29
The product of their ages after 3 years will be equal to 360,
such that (x + 3)(x + 29) = 360
⇒ x^2 + 29x + 3x + 87 = 360
x^2 +32x+87=360

Thanks

KRIPA SHANKAR DWIVEDI · Answer

Let rohans age=X Rohans mother age=X+26 after 3 years Rohan age=X+3 Rohan’s mother age=(X+26)+3=X+29 NOW A.T.Q Product of age after 3 years=360 (X+3)(X+29)=360 X(X+29)+3(X+29)=360 X^2+29X+3X+87=360 X^2+32X+87−360=0 X^2+32X-272=0 It’s the form of ax^2+bx+c=0 where a=1 b=32 c=−273 hence it’s a quadratic equation

Ram Kushwah · Answer

Let the age of Rohan=x years AS mother is 26 older than Rohan so Mother’s age=x+26 Now the product of their ages after 3 year will be 360 so (x+3)(x+3+26)=360 (x+3)(x+29)=360 x²+29x +3x +87=360 x²+32x-360+87=0 x²+32x-273=0 This is the quadratic equation formed To find Rohan’s age: x²+32x-273=0 x²+39x-7x-273=0 x(x+39)-7(x+39)=0 (x+39)(x-7)=0 x= -39 or 7 Age can not be negative So Rohan’s age= 7 years

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. Represent the following situations in the form of quadratic equations: Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

. Represent the following situations in the form of quadratic equations:
Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

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. Represent the following situations in the form of quadratic equations: Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

. Represent the following situations in the form of quadratic equations: Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

3 Answers

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. Represent the following situations in the form of quadratic equations:
Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.