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
Solve the following quadratic equations by factorization:
4x2 + 5x = 0
Solve the following quadratic equations by factorization:
`(x+3)/(x-2)-(1-x)/x=17/4`
The difference of two numbers is 4. If the difference of their reciprocals is 4/21. Find the numbers.
The sum of two number a and b is 15, and the sum of their reciprocals `1/a` and `1/b` is 3/10. Find the numbers a and b.
If 2 is a root of the equation x2 + bx + 12 = 0 and the equation x2 + bx + q = 0 has equal roots, then q =
Solve the following equation: 3x2 + 25 x + 42 = 0
The area of right-angled triangle is 600cm2. If the base of the triangle exceeds the altitude by 10cm, find the dimensions of the triangle.
Solve the following equation by factorization
6p2+ 11p – 10 = 0
Solve the following equation by factorization
`(2)/(x^2) - (5)/x + 2 = 0, x ≠ 0`
Find the roots of the following quadratic equation by the factorisation method:
`3x^2 + 5sqrt(5)x - 10 = 0`
