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
Two squares have sides x cm and (x + 4) cm. The sum of this areas is 656 cm2. Find the sides of the squares.
The sum of the squares of two numbers as 233 and one of the numbers as 3 less than twice the other number find the numbers.
The speed of a boat in still water is 8 km/hr. It can go 15 km upstream and 22 km downstream in 5 hours. Find the speed of the stream.
The perimeter of a rectangular field is 82 m and its area is 400 m2. Find the breadth of the rectangle.
The area of a right angled triangle is 165 m2. Determine its base and altitude if the latter exceeds the former by 7 m.
Two pipes running together can fill a tank in `11 1/9` minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately.
Solve:
`(x/(x + 2))^2 - 7(x/(x + 2)) + 12 = 0; x != -2`
Solve the given quadratic equation for x : 9x2 – 9(a + b)x + (2a2 + 5ab + 2b2) = 0 ?
Find the roots of the quadratic equation \[\sqrt{2} x^2 + 7x + 5\sqrt{2} = 0\].
Solve the following quadratic equations by factorization:
\[3\left( \frac{7x + 1}{5x - 3} \right) - 4\left( \frac{5x - 3}{7x + 1} \right) = 11; x \neq \frac{3}{5}, - \frac{1}{7}\]
Write the set of value of k for which the quadratic equations has 2x2 + kx − 8 = 0 has real roots.
The number of quadratic equations having real roots and which do not change by squaring their roots is
If \[\left( a^2 + b^2 \right) x^2 + 2\left( ab + bd \right)x + c^2 + d^2 = 0\] has no real roots, then
Solve the following equation: 2x2 - 3x - 9=0
Two natural numbers differ by 4. If the sum of their square is 656, find the numbers.
The area of right-angled triangle is 600cm2. If the base of the triangle exceeds the altitude by 10cm, find the dimensions of the triangle.
A shopkeeper purchases a certain number of books for Rs. 960. If the cost per book was Rs. 8 less, the number of books that could be purchased for Rs. 960 would be 4 more. Write an equation, taking the original cost of each book to be Rs. x, and Solve it to find the original cost of the books.
Solve the following quadratic equation by factorisation:
9x2 - 3x - 2 = 0
Find two consecutive even natural numbers such that the sum of their squares is 340.
If the sum of two smaller sides of a right – angled triangle is 17cm and the perimeter is 30cm, then find the area of the triangle.
