How many numbers lie between 11 and 1111 which when divided by 9 leave a remainder of 6 and when divide by 21 leave a remainder of 12? ___
compatidakjjn
Answered question
2023-02-25
Answer & Explanation
davz198888za
Beginner2023-02-26Added 9 answers
N = 9k + 6
and N = 21l + 12
or 3(3k - 7l) = 6
or 3k = 7l + 2 or
Therefore, set l to its lowest possible value such that k's value is an integer, or the numerator, in other words. (i. e., 7l+ 2) will be divisible by 3.
Thus at I =1, we get k = 3 (an integer). So the least possible number .
The higher numbers can now be achieved by multiplying the LCM of 9 and 21 by 33. i.e., The general form of the number is 63m + 33. So the other number in the given range including 33 are 96, 159, 222, 285, 348, ..., 1104. Hence there are total 18 numbers which satisfy the given condition.
New Questions in Other
22+64
When a cold drink is taken from a refrigerator, its temperature is 5 degree C. After 25 minutes in a 20 degree C room its temperature has increased to 10 degree C. What is the temperature of the drink after 50 minutes?
How many minutes are there in hours?
Find the answer for power .
The following law describes the relationship between gas volume and pressure: ________. A)Boyle's law; B)Henry's law; C)Charles' law; D)Dalton's law
If an electric switch is open then no current flows through the circuit.
A)True;
B)FalseThe price elasticity of supply of a good is 0.8. Its price rises by 50 per cent. Calculate the percentage increase in its supply.
How many quarts are in 10 gallons?
When the net force acting on an object is zero, the total momentum of the system will:
A)remain constant;
B)increase with time;
C)decrease with time;
D)None of theseHow many centimeters are in four meters?
A notebook computer has a mass of 2.25 kilograms. About how many pounds does the notebook weigh?
If the dot product of two non-zero vectors is zero, then the vectors A)are parallel to each other. B)are perpendicular to each other. C)can have any orientation. D)are anti-parallel to each other.
Which is longer 5 miles or 10 kilometers?
9 grams is how many milligrams?
How to write in scientific notation?
