A number is 27 more than the number obtained by reversing its digits. If its unit’s and ten’s digits are x and y respectively, write the linear equation representing the above statement.
A number is 27 more than the number obtained by reversing its digits. If its unit’s and ten’s digits are x and y respectively, write the linear equation representing the above statement.
Text Solution
Verified by Experts
The correct Answer is:
x - y + 3 = 0
Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
Express the following statements as a linear equation in two variables. The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If the digits in unit’s and ten’s place are ‘x’ and ‘y’ respectively.
A lending library has fixed charge for the first three days and an additional charges for each day thereafter. John paid 27 for a book kept for seven days. If the fixed charges be x and subsequent per day charges be y, then write the linear equation representing the above information and draw the graph of the same. From the graph, find fixed charges for the first three if additional charges for each day thereafter is 4. Find additional charges for each day thereafter if the fixed charges for the first three days of 7.
The sum of a two digit number and the number obtained by interchanging the digits is 99. If the digit at tens place exceeds the digit at units place by 3, find the number.
The sum of a two digit number and the number formed by interchanging its digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of digits in the first number. Find the first number.
Read the following statements : S_(1) : An object shall weigh more at pole than at equator when weighed by using a physical balance. S_(2) : It shall weigh the same at pole and equator when weighed by using a physical balance. S_(3) : It shall weigh the same at pole and equator when weighed by using a spring balance. S_(4) : It shall weigh more at the pole than at equator when weighed using a spring balance. Which of the above statements is/are correct ?
Form the pair of linear equations in the following problems and find their solutions (if they exist) by the elimination method: The sum of the digits of a two digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.
The transverse displacement of a string (clamped at its both ends) is given by y(x, t) = 0.06 sin ((2 x)/(3) x) cos (120 pi t) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0 xx 10^(-2) kg . Answer the following : (a) Does the function represent a travelling wave or a stationary wave? (b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency , and speed of each wave ? (c ) Determine the tension in the string.
When a particle is restricted to move aong x axis between x =0 and x = a , where a is of nanometer dimension. Its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is realated to the linear momentum p of the particle according to the de Breogile relation. The energy of the particl e of mass m is reelated to its linear momentum as E = (p^(2))/(2m) . Thus, the energy of the particle can be denoted by a quantum number 'n' taking values 1,2,3,"......." ( n=1 , called the ground state) corresponding to the number of loop in the standing wave. Use the model decribed above to answer the following three questions for a particle moving in the line x = 0 to x =a . Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19) C . The allowed energy for the particle for a particular value of n is proportional to
When a particle is restricted to move aong x axis between x =0 and x = a , where a is of nanometer dimension. Its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is realated to the linear momentum p of the particle according to the de Breogile relation. The energy of the particl e of mass m is reelated to its linear momentum as E = (p^(2))/(2m) . Thus, the energy of the particle can be denoted by a quantum number 'n' taking values 1,2,3,"......." ( n=1 , called the ground state) corresponding to the number of loop in the standing wave. Use the model decribed above to answer the following three questions for a particle moving in the line x = 0 to x =a . Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19) C . The speed of the particle, that can take disrete values, is proportional to