Home
Class 10
MATHS
Represent the following situations in th...

Represent the following situations in the form of quadratic equation:
Rohan’s mother is 26 years older than him. The product of their ages after 3 years will be 360 years. We need to find Rohan’s present age

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+32x-273=0`(x=Rohan's Age)
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE - 5.2|18 Videos
  • QUADRATIC EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE - 5.3|16 Videos
  • QUADRATIC EQUATIONS

    NCERT GUJARATI|Exercise DO THIS|7 Videos
  • PROGRESSIONS

    NCERT GUJARATI|Exercise OPTIONAL EXERCISE (FOR EXTENSIVE LEARNING)|7 Videos
  • REAL NUMBERS

    NCERT GUJARATI|Exercise OPTIONAL EXERCISE|4 Videos

Similar Questions

Explore conceptually related problems

Represent the following situations in the form of quadratic eqautions : (1) The area of a rectangular plot is 528 m^(2) . The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot. (2) The product of two consecutive positive integers is 306. We need to find the integers. (3) 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. (4) A train travels a distance of 480 km at a uniform speed. If the speed had been 8km/h less, it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

Represent the following situations in the form of quadratic equation: The area of a rectangular plot is 528 m^(2) . The length of the plot is one metre more than twice its breadth. We need to find the length and breadth of the plot.

Represent the following situations in the form of quadratic equation: The product of two consecutive positive integers is 306. We need to find the integers.

Represent the folloowing situations in the form of quadratic equations : (1) The length of the hypotenus of an isosceles right angled triangle is 10 cm. We need to find the length of each of two equal sides. (2)The sum of squares of two consecutive odd positive integers in 970. We need to find those integers. (3) While selling an article for Rs. 96, the profit in percentage is equal to its cost price in rupees. We need to find the cost price of the article. (4) When there is a decreases of 10 km/h in the usual speed of a train, it takes 4(1)/(2) hours more to cover 900km. We need to find the usual speed of the train. (5) The sum of squares of two parts of 31 is 481. We need to find those two parts.

Represent the following situations in the form of quadratic equations: (1) The sum of a non-zero integer and its reciprocal is (17)/(4) . We need to find that number. (2) The sum of areas of two squares is 514 cm^(2) and their perimeters differ by 8 cm. We need to find the side of both the squares.

Represent the following situations in the form of quadratic equation: A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train

Is it following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Is the above situation possible? If so, determine their present ages.

The sum of the reciprocals of Rehman’s ages, (in years) 3 years ago and 5 years from now is (1)/(3) . Find his present age.