Advertisements
Advertisements
प्रश्न
In a two digit number, the unit’s digit is twice the ten’s digit. If 27 is added to the number, the digit interchange their places. Find the number.
Advertisements
उत्तर
Let ten's digit = x
Unit's digit = 2x
Required number
= 10x + 2x
= 12x
On interchanging the digit's
Number formed
= 10 (2x) + x
= 21x
According given condition
12x + 27 = 21x
27 = 21x - 12x
27 = 9x
∴ x = `(27)/(9)`
x = 3
∴ Required number
= 12 x 3
= 36.
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(2x)/(x-4)+(2x-5)/(x-3)=25/3`
Find the two consecutive natural numbers whose product is 20.
The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.
Write the condition to be satisfied for which equations ax2 + 2bx + c = 0 and \[b x^2 - 2\sqrt{ac}x + b = 0\] have equal roots.
Find the discriminant of the quadratic equation \[3\sqrt{3} x^2 + 10x + \sqrt{3} = 0\].
The values of k for which the quadratic equation \[16 x^2 + 4kx + 9 = 0\] has real and equal roots are
Solve the following equation: 4x2 + 4 bx - (a2 - b2) = 0
There is a square field whose side is 44m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and graving the path at Rs 2. 75 and Rs. 1.5 per square metre, respectively, is Rs 4,904. Find the width of the gravel path.
The length (in cm) of the hypotenuse of a right-angled triangle exceeds the length of one side by 2 cm and exceeds twice the length of another side by 1 cm. Find the length of each side. Also, find the perimeter and the area of the triangle.
A dealer sells a toy for ₹ 24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.
