Advertisements
Advertisements
प्रश्न
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
Advertisements
उत्तर
Let these two numbers be X and Y, Y being the bigger number. Then as per the question,
X + Y = 25 .....(i)
2Y2 = 3X2 + 29 ..... (ii)
From (i), we get Y= 25 - X. Putting this in (ii), we get
2{25-X)2 = 3X2 + 29
⇒ 1250 + 2X2 -100X= 3X2 + 29
⇒ X2 + l OO X - 1221 = 0
⇒ X2 - 11 X +111X - 1221 = 0
⇒ X (X - 11) +111( X - 11) = 0
⇒ (X-11) (X+111) = 0
⇒ X can't be a negative number and hence X=11
⇒ X=11, hence Y = 14 .
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`
The perimeter of a rectangular field is 82 m and its area is 400 m2. Find the breadth of the rectangle.
Solve:
`(x/(x + 2))^2 - 7(x/(x + 2)) + 12 = 0; x != -2`
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 - 2\left( k + 1 \right)x + \left( k + 1 \right) = 0\]
If \[x^2 + k\left( 4x + k - 1 \right) + 2 = 0\] has equal roots, then k =
If one root of the equation 4x2 − 2x + (λ − 4) = 0 be the reciprocal of the other, then λ =
Let ∆ ABC ∽ ∆ DEF and their areas be respectively, 64 cm2 and 121 cm2. If EF = 15⋅4 cm, find BC.
Solve the following equation by factorization
`sqrt(3x + 4) = x`
Two pipes running together can fill a tank in `11(1)/(9)` minutes. If one pipe takes 5 minutes more than the other to fill the tank, find the time in which each pipe would/fill the tank.
