Advertisements
Advertisements
प्रश्न
Find two consecutive multiples of 3 whose product is 648.
Advertisements
उत्तर
Le the required consecutive multiples of 3 be 3x and`3(x+1)`
According to the given condition,
`3x xx3(x+1)=648`
⇒`9(x^2+x)=648`
⇒` x^2+x=72`
⇒`x^2+x-72=0`
⇒`x^2+x-72=0`
⇒`x^2+9x-8x-72=0`
⇒`x(x+9)-8(x+9)=0`
⇒`(x+9)(x-8)=0`
⇒`x+9=0 or x-8=0`
⇒` x=-9 or x=8`
∴` x=8` (Neglecting the negative value)
When `x=8`
`3x=3xx8=24`
`3(x+1)=3xx(8+1) =3xx9=27`
Hence, the required multiples are 24 and 27.
APPEARS IN
संबंधित प्रश्न
A two digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.
Solve 2x2 – 9x + 10 =0; when x ∈ Q
Solve each of the following equations by factorization:
`X^2 – 10x – 24 = 0 `
The sum of two natural numbers is 15 and the sum of their reciprocals is `3/10`. Find the numbers.
The difference of two natural number is 3 and the difference of their reciprocals is `3/28`Find the numbers.
The sum of two natural numbers is 20 while their difference is 4. Find the numbers.
Find the values of k for which the roots are real and equal in each of the following equation:\[px(x - 3) + 9 = 0\]
Find the values of k for which the quadratic equation
\[\left( 3k + 1 \right) x^2 + 2\left( k + 1 \right)x + 1 = 0\] has equal roots. Also, find the roots.
If 2 is a root of the equation x2 + bx + 12 = 0 and the equation x2 + bx + q = 0 has equal roots, then q =
If 2 is a root of the equation x2 + ax + 12 = 0 and the quadratic equation x2 + ax + q = 0 has equal roots, then q =
Solve the following equation: a2x2 - 3abx + 2b2 = 0
Solve equation using factorisation method:
`6/x = 1 + x`
Solve equation using factorisation method:
2(x2 – 6) = 3(x – 4)
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 quadratic equation by factorisation:
(x - 4) (x + 2) = 0
Solve the following equation by factorization
x2– 4x – 12 = 0,when x∈N
If the product of two consecutive even integers is 224, find the integers.
Find two consecutive odd integers such that the sum of their squares is 394.
Find three consecutive odd integers, the sum of whose squares is 83.
