Question
Find a number whose one-third part exceeds its one-fifth part by 20.
✓
Answer
Let the number $=x$
According to the condition
$ \begin{aligned} & \frac{1}{3} \mathrm{x}-\frac{1}{5} \mathrm{x}=20 \\ & \Rightarrow \frac{5 \mathrm{x}-3 \mathrm{x}}{15}=20 \ldots(\text { LCM of } 3, \text { and } 5=15) \\ & \Rightarrow \frac{2 \mathrm{x}}{15}=20 \\ & \Rightarrow \mathrm{x}=\frac{20 \times 15}{2} \\ & \Rightarrow \mathrm{x}=150 \end{aligned} $
$\therefore$ Number $=150$
According to the condition
$ \begin{aligned} & \frac{1}{3} \mathrm{x}-\frac{1}{5} \mathrm{x}=20 \\ & \Rightarrow \frac{5 \mathrm{x}-3 \mathrm{x}}{15}=20 \ldots(\text { LCM of } 3, \text { and } 5=15) \\ & \Rightarrow \frac{2 \mathrm{x}}{15}=20 \\ & \Rightarrow \mathrm{x}=\frac{20 \times 15}{2} \\ & \Rightarrow \mathrm{x}=150 \end{aligned} $
$\therefore$ Number $=150$
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
A survey of 50 boys showed that 21 like tea while 29 dislike it. Out of these boys, one boy is chosen at random. What is the probability that the chosen boy
(i) likes tea
(ii) dislikes tea
(i) likes tea
(ii) dislikes tea
Construct an isosceles Δ ABC such that:
Base BC = 4 cm and base angle = 30°. Measure the other two sides of the triangle.
Base BC = 4 cm and base angle = 30°. Measure the other two sides of the triangle.
A point P (7,3) is reflected in the x-axis to point P’. The point P’ is further reflected in v-axis to point P” Find :
(i) the coordinates of P’
(ii) the co-ordinates of P”
(iii) the image of P (7, 3) in origin.
(i) the coordinates of P’
(ii) the co-ordinates of P”
(iii) the image of P (7, 3) in origin.
Solve the following equation:
$\frac{5}{12} m-12=48$
→$\frac{5}{12} m-12=48$
Divide: 7.644 by 1.4
The price of a chair is reduced by 25%. What is the ratio of:
(i) Change in price to the old price.
(ii) Old price to the new price.
(i) Change in price to the old price.
(ii) Old price to the new price.
Find the unknown marked angles in the given figure:
Evaluate: 4.3 x 0.52 x 0.3
A metal wire, when bent in the form of a square of largest area, encloses an area of $484 cm^2$. Find the length of the wire. If the same wire is bent to the largest circle, find:
(i) radius of the circle formed.
(ii) area of the circle.
→(i) radius of the circle formed.
(ii) area of the circle.
Simplify: 38.00 – 30 + 200.200 – 0.230