Advertisements
Advertisements
प्रश्न
The present age of the mother is square of her daughter's present age. 4 years hence, she will be 4 times as old as her daughter. Find their present ages.
उत्तर
Let the present age of the Mother be M years and her daughter age be D years.
Then, as per the question description,
M = D2 ...... (i)
(M + 4) = 4(D + 4) ...... (ii)
Putting (ii) in (i) above, we get
D2 + 4 = 4D +16
⇒ D2 - 4D -12 = 0
⇒ D2 - 6D + 2D - 12 = 0
⇒ D(D-6 )+ 2(D-6)=0
⇒ (D+ 2)(D-6)=0
⇒ D= -2, D = 6 (Age cannot be negative)
⇒ D =6 years and hence, M =36 years
APPEARS IN
संबंधित प्रश्न
Solve the equation:`14/(x+3)-1=5/(x+1); xne-3,-1` , for x
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 - 2\left( k + 1 \right)x + \left( k + 1 \right) = 0\]
Find the values of k for which the quadratic equation
\[\left( 3k + 1 \right) x^2 + 2\left( k + 1 \right)x + 1 = 0\] has equal roots. Also, find the roots.
Write the number of real roots of the equation x2 + 3 |x| + 2 = 0.
If the equation ax2 + 2x + a = 0 has two distinct roots, if
Solve the following equation: 4x2 + 4 bx - (a2 - b2) = 0
Solve the following by reducing them to quadratic form:
`sqrt(y + 1) + sqrt(2y - 5) = 3, y ∈ "R".`
An aeroplane flying with a wind of 30 km/hr takes 40 minutes less to fly 3600 km, than what it would have taken to fly against the same wind. Find the planes speed of flying in still air.
Solve the following quadratic equation by factorization method.
3p2 + 8p + 5 = 0
The product of two integers is –18; the integers are ______.
