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Ruhi’s mother is 26 years older than her. The product of their ages (in years) 3 years from now will be 360. Form a Quadratic equation so as to find Ruhi’s age​
  • a)
    2 + 32 x – 273 = 0
  • b)
    2 -32 x – 273=0
  • c)
    2 + 32 x + 273 = 0
  • d)
    2 – 32 x +273 = 0
Correct answer is option 'A'. Can you explain this answer?
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Ruhi’s mother is 26 years older than her. The product of their a...
Ruhi’s mother is 26 years older than her
So let Ruhi’s age is x
So mother’s age is x+26
The product of their ages 3 years from now will be 360
So After three years , Ruhi’s age will be x+3
Mother’s age will be x+26+3=x+29
Product of their ages =(x + 3)(x + 29)=360
x2+(3+29)x+87=360
x2+32x-273=0
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To form a quadratic equation, we need to understand the given information and determine the unknown variables. Let's break down the problem step by step:

Step 1: Understand the problem
Ruhis' mother is 26 years older than her. This means if Ruhis' age is represented by x, then her mother's age would be x + 26.

Step 2: Identify the unknown variables
We need to find Ruhis' age, so our unknown variable is x.

Step 3: Determine the relationship between the variables
The product of their ages 3 years from now will be 360. This means that (x + 3) * (x + 26 + 3) = 360.

Step 4: Simplify the equation
(x + 3) * (x + 29) = 360
x^2 + 29x + 3x + 87 = 360
x^2 + 32x + 87 = 360

Step 5: Rewrite the equation in the standard quadratic form
x^2 + 32x + 87 - 360 = 0
x^2 + 32x - 273 = 0

So the quadratic equation formed to find Ruhis' age is x^2 + 32x - 273 = 0.

Option A(x^2 + 32x - 273 = 0) is the correct answer.
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Ruhi’s mother is 26 years older than her. The product of their ages (in years) 3 years from now will be 360. Form a Quadratic equation so as to find Ruhi’s age​a)x2+ 32 x – 273 = 0b)x2-32 x – 273=0c)x2+ 32 x + 273 = 0d)x2– 32 x +273 = 0Correct answer is option 'A'. Can you explain this answer?
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Ruhi’s mother is 26 years older than her. The product of their ages (in years) 3 years from now will be 360. Form a Quadratic equation so as to find Ruhi’s age​a)x2+ 32 x – 273 = 0b)x2-32 x – 273=0c)x2+ 32 x + 273 = 0d)x2– 32 x +273 = 0Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Ruhi’s mother is 26 years older than her. The product of their ages (in years) 3 years from now will be 360. Form a Quadratic equation so as to find Ruhi’s age​a)x2+ 32 x – 273 = 0b)x2-32 x – 273=0c)x2+ 32 x + 273 = 0d)x2– 32 x +273 = 0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ruhi’s mother is 26 years older than her. The product of their ages (in years) 3 years from now will be 360. Form a Quadratic equation so as to find Ruhi’s age​a)x2+ 32 x – 273 = 0b)x2-32 x – 273=0c)x2+ 32 x + 273 = 0d)x2– 32 x +273 = 0Correct answer is option 'A'. Can you explain this answer?.
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