A number is the reciprocal of the other. If t | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(d) Suppose that required numbers $a$ and $b$.

Therefore according to the conditions $a = \frac{1}{b}$

and $\frac{{a + b}}{2} = \frac{{13}}{{12}

Vedclass · Accepted Answer

$\frac{3}{2},\;\frac{2}{3}$

Vedclass · Answer

(d) Suppose that required numbers $a$ and $b$.

Therefore according to the conditions $a = \frac{1}{b}$

and $\frac{{a + b}}{2} = \frac{{13}}{{12}}$$ \Rightarrow $$a + b = \frac{{13}}{6}$

$ \Rightarrow $ $a + \frac{1}{a} = \frac{{13}}{6} \Rightarrow 6{a^2} - 13a + 6 = 0$

$ \Rightarrow $ $\left( {a - \frac{3}{2}} \right)\,\left( {a - \frac{2}{3}} \right) = 0$

$ \Rightarrow $$a = \frac{3}{2}$ and $b = \frac{2}{3}$

or $a = \frac{2}{3}$ and $b = \frac{3}{2}$.

Trick : Find the $A.M.$ of option $(a), (b), (c), (d)$ one by one.

A number is the reciprocal of the other. If the arithmetic mean of the two numbers be $\frac{{13}}{{12}}$, then the numbers are

Similar Questions

Jairam purchased a house in Rs. $15000$ and paid Rs. $5000$ at once. Rest money he promised to pay in annual installment of Rs. $1000$ with $10\%$ per annum interest. How much money is to be paid by Jairam $\mathrm{Rs.}$ ...................

Let $S_n$ denote the sum of the first $n$ terms of an $A.P$.. If $S_4 = 16$ and $S_6 = -48$, then $S_{10}$ is equal to

The sum of numbers from $250$ to $1000$ which are divisible by $3$ is

If $19^{th}$ terms of non -zero $A.P.$ is zero, then its ($49^{th}$ term) : ($29^{th}$ term) is

If $f(x + y,x - y) = xy\,,$ then the arithmetic mean of $f(x,y)$ and $f(y,x)$ is