Question
A number when added to its half gives $72$. Find the number.
✓
Answer
Let the required number $= x$ And half of the number $=\frac{\text{x}}{2}$
Then, $\frac{\text{x}}{2}+\text{x}=72$
$\Rightarrow\frac{\text{x}+2\text{x}}{2}=72$
$\Rightarrow\frac{3\text{x}}{2}=72$
$\therefore\text{x}=\frac{72\times2}{3}=24\times2=48$
$\therefore$ Required number $= 48$
Then, $\frac{\text{x}}{2}+\text{x}=72$
$\Rightarrow\frac{\text{x}+2\text{x}}{2}=72$
$\Rightarrow\frac{3\text{x}}{2}=72$
$\therefore\text{x}=\frac{72\times2}{3}=24\times2=48$
$\therefore$ Required number $= 48$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Subtract:
$\frac{-32}{13}\text{ from }\frac{-6}{5}$
→$\frac{-32}{13}\text{ from }\frac{-6}{5}$
Laxmi’s father is $49$ years old. He is $4$ years older than $3$ times Laxmi’s age. What is Laxmi’s age$?$
→The sides of a triangle are $42\ cm, 34\ cm$ and $20\ cm$. Calculate its area and the length of the height on the longest side.
→Write the following number in the expanded exponential forms:
927303
927303
The weights (in kg.) of $15$ students of a class are $:38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47. (i) $ Find the mode and median of this data.$(ii)$ Is there more than one mode$ ?$
→→
In a survey of $100$ ladies it was found that $36$ like coffee while $64$ dislike it. Out of these ladies, one is chosen at random. What is the probability that the choszen lady $(i)$ likes coffee,$ (ii)$ dislikes coffee?
→What should be added to $\Big(\frac{-13}{4}+\frac{-3}{8}\Big)$
→The population of a village is $8000.$ Out of these, $80\%$ are literate and of these literate people, $40\%$ are women. Find the ratio of the number of literate women to the total population.
→The cost of $7\frac{2}{3}$ metres of rope is $12\frac{3}{4}$ Find its cost per metre.
→