Advertisements
Advertisements
प्रश्न
The product of Ramu's age (in years) five years ago and his age (in years) nice years later is 15. Determine Ramu's present age.
Advertisements
उत्तर
Let the present age of Ramu be x years
Then, 9 years later, age of her = (x + 9) years
Five years ago, her age = (x - 5) years
Then according to question,
(x - 5)(x + 9) = 15
x2 + 9x - 5x - 45 = 15
x2 + 4x - 45 - 15 = 0
x2 + 4x - 60 = 0
x2 - 6x + 10x - 60 = 0
x(x - 6) + 10(x - 6) = 0
(x - 6)(x + 10) = 0
So, either
x - 6 = 0
x = 6
Or
x + 10 = 0
x = -10
But the age never be negative
Hence, the present age of Ramu be 6 years.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(x-1/2)^2=4`
Solve the following quadratic equations by factorization:
x2 + 2ab = (2a + b)x
The sum of the squares of three consecutive natural numbers as 149. Find the numbers
A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.
Solve:
(a + b)2x2 – (a + b)x – 6 = 0; a + b ≠ 0
`3x^2-x-2=0`
Solve the following quadratic equation by factorisation.
\[6x - \frac{2}{x} = 1\]
Solve the following quadratic equations by factorization: \[\frac{x + 1}{x - 1} + \frac{x - 2}{x + 2} = 4 - \frac{2x + 3}{x - 2}; x \neq 1, - 2, 2\]
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 - 2\left( k + 1 \right)x + \left( k + 1 \right) = 0\]
In the following determine the set of values of k for which the given quadratic equation has real roots: \[2 x^2 + x + k = 0\]
If −5 is a root of the quadratic equation\[2 x^2 + px - 15 = 0\] and the quadratic equation \[p( x^2 + x) + k = 0\] has equal roots, find the value of k.
If \[1 + \sqrt{2}\] is a root of a quadratic equation will rational coefficients, write its other root.
If 2 is a root of the equation x2 + bx + 12 = 0 and the equation x2 + bx + q = 0 has equal roots, then q =
The value of c for which the equation ax2 + 2bx + c = 0 has equal roots is
If one root the equation 2x2 + kx + 4 = 0 is 2, then the other root is
Solve the following equation: 3x2 + 25 x + 42 = 0
Solve the following equation: 4x2 + 4 bx - (a2 - b2) = 0
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 124. Determine their present ages.
Solve equation using factorisation method:
`4/(x + 2) - 1/(x + 3) = 4/(2x + 1)`
The sum of two numbers is 9 and the sum of their squares is 41. Taking one number as x, form ail equation in x and solve it to find the numbers.
