Find a number whose double is 45 greater than its half. - Vidyadip

Question

Find a number whose double is 45 greater than its half.

✓

Answer

Let the requierd number = x Then Four-fifth of the number = 2x And half of it $=\frac{\text{x}}{2}$ $\therefore$ According to the condition:$2\text{x}-\frac{\text{x}}{2}=45$
$\Rightarrow\frac{4\text{x}-\text{x}}{2}=45$
$\Rightarrow\frac{3}{2}\text{x}=45$
$\Rightarrow\text{x}=\frac{45\times2}{3}=30$
$\therefore$ Required number = 30 Check: $2\times30-\frac{1}{2}\times30$ = 6 - 15 = 45, which is given $\therefore$ Our answer is correct.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "4 Mark Question" from Linear Equations in One Variable→Linear Equations in One Variable — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Locate the points P(3, 4), Q(1, 0), R(0, 4) and S(4, 1) on a graph sheet and write the coordinates of the points of intersection of line segments PQ and RS.

The area of a square field is $60025 m^2$. A man cycles along its boundary at $18 km / hr$. In how much time will he return at the starting point?

Find the compound interest on Rs. 1000 at the rate of 8% per annum for $1\frac{1}{2}$ years when interest is compounded half-yearly.

Plot the following points on a graph sheet. Verify that they lie on a line.
A(4, 0), B(4, 2), C(4, 2.5), and D(4, 6)

The curved surface area of a cylinder is $4400 cm^2$ and the circumference of its base is 110 cm . Find the volume of the cylinder.

In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and to the denominator, the new fraction is $\frac{2}{3}.$ Find the original fraction.

A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the probability that ball drawn is white?

Find the volume of wood used to make a closed box of outer dimensions $60 cm \times 45 cm \times 32 cm$, the thickness of wood being 2.5 cm all around.

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is:

white
red
not black
red or white

Locate the points A(1, 2), B(3, 4) and C(5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D in order to complete the rhombus ABCD. Measure the diagonals of this rhombus and check whether they are equal or not.