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 this two digit number be XY. Then as per the question,
XY = 14 .......(i)
XY + 45 = YX .........(ii)
From (i) , possible combination are : 27 , 72.
From (ii) , it's clear that the number XY is less than YX as we are adding 45 to XY which makes it equal to YX.
Hence , the number is 27 and we add it by 45 , we get a number of 72 which is a number where the digit are interchanged.
hence answer is 27.
APPEARS IN
संबंधित प्रश्न
The numerator of a fraction is 3 less than its denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and original fraction is `29/20`. Find the original fraction.
Find the roots of the following quadratic equation by factorisation:
`sqrt2 x^2 +7x+ 5sqrt2 = 0`
The product of Ramu's age (in years) five years ago and his age (in years) nice years later is 15. Determine Ramu's present age.
Solve:
`(x/(x + 2))^2 - 7(x/(x + 2)) + 12 = 0; x != -2`
Solve:
`1/p + 1/q + 1/x = 1/(x + p + q)`
Solve the following quadratic equations by factorization:
`(x + 3)^2 – 4(x + 3) – 5 = 0 `
In the following determine the set of values of k for which the given quadratic equation has real roots: \[2 x^2 + x + k = 0\]
Solve the following equation: `"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `
Solve the following equation by factorization
x2 – (p + q)x + pq = 0
Solve the following equation by factorization
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
