Advertisements
Advertisements
Question
The product of a girl's age five years ago and her age 3 years later is 105. Find her present age.
Advertisements
Solution
Let the present age of the Girl be G year. Then, as per the question description,
(G - S)(G + 3) = 105
⇒ G2 - 2G - 120 = 0
⇒ G2 -12G + 10G - 120 = 0
⇒ G (G - 12) +10 (G - 12) = 0
⇒ G=12 , G = -10 (Agecannotbe negative)
⇒ G=12 Years
APPEARS IN
RELATED QUESTIONS
Find the roots of the following quadratic equation by factorisation:
`sqrt2 x^2 +7x+ 5sqrt2 = 0`
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.
Solve the following quadratic equations by factorization:
a(x2 + 1) - x(a2 + 1) = 0
The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.
A piece of cloth costs Rs. 35. If the piece were 4 m longer and each meter costs Rs. 1 less, the cost would remain unchanged. How long is the piece?
One of the roots of equation 5m2 + 2m + k = 0 is `(-7)/5` Complete the following activity to find the value of 'k'.
Solve the following quadratic equation by
factorisation.
5m2 = 22m + 15
Find the values of k for which the roots are real and equal in each of the following equation:
\[kx\left( x - 2\sqrt{5} \right) + 10 = 0\]
Solve the following equation: `"a"("x"^2 + 1) - x("a"^2 + 1) = 0`
The sum of the numerator and denominator of a certain positive fraction is 8. If 2 is added to both the numerator and denominator, the fraction is increased by `(4)/(35)`. Find the fraction.
