Linear Equation...

The difference between $$\left(\displaystyle\frac{3}{5}\right)^{th}$$of $$\left(\displaystyle\frac{2}{3}\right)^{rd}$$ of a number and $$\left(\displaystyle\frac{2}{5}\right)^{th}$$ of $$\left(\displaystyle\frac{1}{4}\right)^{th}$$ of the same number is $$288$$. What is the number?

There are four containers that are arranged in the ascending order of their heights. If the height of the smallest container given in the figure is expressed as $$\dfrac{7}{25} x = 10.5$$cm. Find the height of the largest container.

Two numbers are in the ratio $$\displaystyle1\frac{1}{2} : 2\frac{2}{3}$$. But if each number is increased by $$15$$. then the ratio becomes $$\displaystyle1\frac{2}{3} : 2 \frac{1}{2}$$. The numbers are:

If a boat goes $$7$$ km upstream in $$42$$ minutes and the speed of the stream is $$3$$ kmph, then the speed of boat in still water is:

Hamid has three boxes of different fruits. Box $$A$$ weights $$2\dfrac{1}{2}\ kg$$ more than Box $$B$$ and Box $$C$$ weights $$10\dfrac{1}{4}\ kg$$ more than Box $$B$$. The total weight of the boxes is $$48\dfrac{3}{4}$$. How many $$kgs$$ does Box A weights?

A crate of mangoes contains one bruised mango for every $$30$$ mangoes in the crate. If $$3$$ out of every $$4$$ bruised mango are considered unsaleable, and there are $$12$$ unsaleable mangoes in the crate, how many mangoes are there in the crate?

$$\dfrac{2x-3}{2}-\dfrac{(x+1)}{3}=\dfrac{3x-8}{4}$$

If $$t = x+2$$, find the value of x .If $$2t-7 +\dfrac{3(t-1)}{2}=3$$

There is $$34000$$ rupees in a beg in the denomination of $$Rs 50,Rs 100,Rs 500$$ and $$Rs 1000$$ currencynotes. If the ratio of the number of these notes is $$2:3:4:1$$ then find the number of notes of $$500$$ denomination.

Find the two consecutive odd numbers whose sum is 76.