Select the correct answerTwo different numbers when divided by a divisor left reminder 11 and 21 respectively. When their sum was divided by the same divisor reminder was 4. what is the divisor?Options91535288
Question
Select the correct answerTwo different numbers when divided by a divisor left reminder 11 and 21 respectively. When their sum was divided by the same divisor reminder was 4. what is the divisor?Options91535288
Solution
Let's denote the two different numbers as A and B, and the divisor as D.
From the problem, we know that:
A = Dx + 11 (where x is some integer) B = Dy + 21 (where y is some integer)
Adding these two equations, we get:
A + B = D*(x+y) + 32
But we also know from the problem that when A + B is divided by D, the remainder is 4. So we can write this as:
A + B = D*z + 4 (where z is some integer)
Comparing the two equations for A + B, we can see that:
D*(x+y) + 32 = D*z + 4
Solving for D, we get:
D = (32 - 4) / (z - x - y)
Since D must be an integer, the only possible values from the options given that satisfy this equation are 28 and 8.
However, since the remainders when A and B are divided by D are 11 and 21 respectively, D must be greater than 21.
Therefore, the only possible value for D is 28.
Similar Questions
Select the correct answerA number when divided by a divisor left reminder 23. When twice of the number was divided by the same divisor, reminder was 11. what is the divisor?Options252123534
Select the correct answerWhen 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?Options23171311
When a number is divided by a certain divisor, the remainder is 46. If another number is divided by same divisor, it leaves remainder 31. If the sum of both the numbers is divided by the same divisor, it gives remainder 19. Find divisor
A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Select the correct answerA positive number when decreased by 4 is equal to 21 times the reciprocal of the number. Find the number?Options191287
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.