Advertisements
Advertisements
प्रश्न
The sum of two natural number is 28 and their product is 192. Find the numbers.
Advertisements
उत्तर
Let the required number be x and (28-x).
According to the given condition,
`x(28)-x=192`
⇒`28x-x^2=192`
⇒`x^2-28x+192=0`
⇒`x^2-16x-12x+192=0`
⇒`x(x-16)-12(x-16)=0`
⇒`(x-12)(x-16)=0`
⇒`x-12=0 or x-16=0`
⇒`x=12 or x=16`
when` x=12`
`28-x=28-12=16`
when `x=16`
28-x=28-16=12`
Hence, the required numbers are 12 and 16.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`x^2+(a+1/a)x+1=0`
Solve the following quadratic equations by factorization:
a2b2x2 + b2x - a2x - 1 = 0
Solve the following quadratic equations by factorization:
`1/(x-1)-1/(x+5)=6/7` , x ≠ 1, -5
Solve the following quadratic equations by factorization:
`1/(x+4)-1/(x-7)=11/30` , x ≠ 4, 7
Solve of the following equations, giving answer up to two decimal places.
3x2 – x – 7 =0
The sum of the squares of two consecutive positive even numbers is 452. Find the numbers.
Write the sum of real roots of the equation x2 + |x| − 6 = 0.
If the equation 9x2 + 6kx + 4 = 0 has equal roots, then the roots are both equal to
If the equations \[\left( a^2 + b^2 \right) x^2 - 2\left( ac + bd \right)x + c^2 + d^2 = 0\] has equal roots, then
Solve the following equation: 2x2 - 3x - 9=0
Solve the following : `("x" - 1/2)^2 = 4`
Solve the following equation:
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 5/2 , x ≠-1/2`
The sum of the square of 2 positive integers is 208. If the square of larger number is 18 times the smaller number, find the numbers.
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.
Two pipes flowing together can fill a cistern in 6 minutes. If one pipe takes 5 minutes more than the other to fill the cistern, find the time in which each pipe would fill the cistern.
Solve the following equation by factorization
`(x^2 - 5x)/(2)` = 0
Solve the following equation by factorization
`(1)/(x + 6) + (1)/(x - 10) = (3)/(x - 4)`
A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.
Divide 16 into two parts such that the twice the square of the larger part exceeds the square of the smaller part by 164.
Car A travels ‘x’ km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
- Write down the number of litres of petrol used by car A and car B in covering a distance of 400 km.
- If car A uses 4 litres of petrol more than car B in covering 400 km. write down an equation, in A and solve it to determine the number of litres of petrol used by car B for the journey.
