Advertisements
Advertisements
Question
A number is 27 more than the number obtained by reversing its digits. If its unit’s and ten’s
digit are x and y respectively, write the linear equation representing the above statement.
Solution
Total original number is 10y + x
The new number is obtained after reversing the order of digits is 10x + y
According to question
⇒ 10y + x = 10x + y + 27
⇒ 9y - 9x = 27
⇒ y - x = 3
⇒ x - y + 3 = 0
This is the required linear equation for the given information.
APPEARS IN
RELATED QUESTIONS
Check whether the following is the solution of the equation x – 2y = 4 or not:
(2, 0)
Check whether the following is the solution of the equation x – 2y = 4 or not:
(4, 0)
The cost of ball pen is Rs. 5 less than half of the cost of fountain pen. Write this statement as
a linear equation in two variables.
Write two solutions for the following equation :
`2/3 x - y = 4`
Write two solutions of the form x = 0, y = a and x = b, y = 0 for the following equation :
−4x + 3y = 12
If x = −1, y = 2 is a solution of the equation 3x + 4y = k, find the value of k.
Find the value of 𝜆, if x = −𝜆 and y =`5/2`
is a solution of the equation x + 4y – 7 = 0.
x = 5, y = 2 is a solution of the linear equation ______.
For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution.
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = `(5F - 160)/9`. If the temperature is 35°C, what is the temperature in Fahrenheit?
