Find two consecutive natural numbers whose product is 20. - Vidyadip

Question

Find two consecutive natural numbers whose product is $20.$

✓

Answer

Let the two consecutive natural numbers be $ 'x'$ and $'x + 1'$
Given that product of the natural numbers is $20$
$ \text { Hence, } x(x+1)=20$
$\Rightarrow x^2+x=20$
$\Rightarrow x^2+x-20=0$
$\Rightarrow x^2+5 x-4 x-20=0$
$\Rightarrow x(x+5)-4(x+5)=0$
$\Rightarrow x=-5 \text { or } x=4$
Considering positive value of x as $\text{x}\in\text{N}$
For $r = 4, x + 1 = 4 + 1 = 5$
The two consecutive natural numbers are $4$ as $5$

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 "3 Marks Question" from Quadratic Equations→Quadratic Equations — all question types→Maths STD 10 question papers→Gujarat Board STD 10 question papers→Gujarat Board question paper generator→

Similar questions

A solid metallic sphere of diameter $8\ cm$ is melted and drawn into a cylindrical wire of uniform width. If the length of the wire is $12m,$ then find its width.

A vessel is in the form of an inverted cone. Its height is $8 \ cm$ and the radius of its top, which is open, is $5 \ cm$. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius $0.5 \ cm$ are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

A survey regarding the heights $($in $cm)$ of $51$ girls of Class $X$ of a school was conducted and the following data was obtained. Find the median height.

Height (in cm)	No. of girls
Less than $140$	$4$
Less than $145$	$11$
Less than $150$	$29$
	$40$
Less than $160$	$46$
Less than $165$	$51$

The angles of depression of the top and bottom of an $8 \ m$ tall building from top of a multistoreyed building are $30^\circ$ and $45^\circ$, respectively. Find the height of multi-storeyed building and distance between two buildings.

For any positive integer n, prove that $\mathrm{n}^3-\mathrm{n}$ is divisible by $6.$

If $\sec\theta=\frac{13}{5},$ show that $\frac{\sin\theta-3\cos\theta}{4\sin\theta-9\cos\theta}=3.$

A box contains $5$ red marbles, $8$ white marbles and $4$ green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be

red ?
white ?
not green ?

If the tangent at a point $P$ to a circle with centre $O$ cuts a line through $O$ at $Q$ such that $PQ = 24\ cm$ and $OQ = 25\ cm.$ Find the radius of the circle.

Prove that:
$\frac{\cos(90^\circ-\theta)}{1+\sin(90^\circ-\theta)}+\frac{1+\sin(90^\circ-\theta)}{\cos(90^\circ-\theta)}=2\text{cosec }\theta$

Find the non-zero value of k for which the roots of the quadratic equation $9x^2- 3kx + k = 0$ are real and equal.