R S Aggarwal and Veena Aggarwal Solutions for Exercise 5: Exercise 3E

If three times the larger of two numbers is divided by the smaller, we get $4$ as the quotient and $8$ as the remainder. If five times the smaller is divided by the larger, we get $3$ as the quotient and $5$ as the remainder. Find the larger number.

Two years ago, a man was five times as old as his son. Two years later, his age will be $8$ more than three times the ago of the son. Find the present ages of the man.

On selling a tea-set at $5\%$ loss and a lemon-set at $15\%$ gain, a crockery seller gains $₹7$. If he sells the tea-set at $5\%$ gain and the lemon-set at $10\%$ gain, he gains $₹13$. Find the actual price of each of the tea-set and that of the lemon-set.

A jeweler has bars of $18$-carat gold and $12$- carat gold. How much of each must be melted together to obtain a bar of $16$-carat gold, weighing $120 \mathrm{gm}$? (Given: Pure gold is $24$-carat).

$90\%$ and $97\%$ pure acid solutions are mixed to obtain $21$ litres of $95\%$  pure acid solution. Find the quantity of each type of acids to be mixed to form the mixture.

The larger of the two supplementary angles exceeds the smaller by $18°$. Find them.

In a$\Delta ABC, \angle A=x°, \angle B=\left(3x\times 2°\right), \angle C$ and $\angle C-\angle B=9°$. Find the three angles.

In a cyclic quadrilateral $ABCD$, it is given that $\angle A=(2x+4)°, \angle B=(y+3)°, \angle C=(2y+10)°$ and $\angle D=(4x-5)°$. Find the four angles.