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Question
What is the largest number which can be formed from the missing digits without repeating represented by the letters in the given addition equation.
What is the largest number which can be formed from the missing digits without repeating represented by the letters in the given addition equation.
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Solution
The correct option is A 9,995
Detailed step-by-step solution:
Say:
1. The addition equation of two numbers is given with some digits missing in it.
Steps:
1. What do we need to determine?
a. The largest number which can be formed by the missing digits without repeating them.
2. How will you determine it?
a. By adding each digit one by one
3. What is the addition of the digits at the ones place?
a. 8 + 2 = 10. The digit will be 0 at the ones place and 1 will be carried forward to the tens place. (WB1)
4. What is the result of adding the digits at the tens place?
a. 1 + D + 8 = 8, D + 9 = 8, The possible value of D is 9 or 9 + 9 = 18. The digit will be 8 at the tens place and 1 will be carried forward to the hundreds place. The value of D is 9.(WB1)
5. What is the result of adding the digits at the hundreds place?
a. 1 + C + 8 = 8, C + 9 = 8, The possible value of C is 9 or 9 + 9 = 18. The digit will be 8 at hundreds place and 1 will carry forward to thousands place. The value of C is 9. (WB1)
6. What is the addition of the digits at thousands place?
a. 1 + 5 + 3 = B, B = 9. The value of B is 9. (WB1)
7. What is the addition of the digits at ten thousand place?
a. 5 + 9 = 14, The digit will be 4 at tens thousand place and 1 will carry forward to hundreds thousands place. (WB1)
8. What is the addition of the digits at a hundred thousand place?
a. 1 + A = 6, A = 5. The value of A is 5. (WB1)
9. What are the values of A, B, C and D?
a. A = 5, B = 9, C = 9 and D = 9.
10. What is the largest number which can be formed by the digits at A, B, C, and D without repetition?
a. 9995
Hence, Option A is correct
WB:
Detailed step-by-step solution:
Say:
1. The addition equation of two numbers is given with some digits missing in it.
Steps:
1. What do we need to determine?
a. The largest number which can be formed by the missing digits without repeating them.
2. How will you determine it?
a. By adding each digit one by one
3. What is the addition of the digits at the ones place?
a. 8 + 2 = 10. The digit will be 0 at the ones place and 1 will be carried forward to the tens place. (WB1)
4. What is the result of adding the digits at the tens place?
a. 1 + D + 8 = 8, D + 9 = 8, The possible value of D is 9 or 9 + 9 = 18. The digit will be 8 at the tens place and 1 will be carried forward to the hundreds place. The value of D is 9.(WB1)
5. What is the result of adding the digits at the hundreds place?
a. 1 + C + 8 = 8, C + 9 = 8, The possible value of C is 9 or 9 + 9 = 18. The digit will be 8 at hundreds place and 1 will carry forward to thousands place. The value of C is 9. (WB1)
6. What is the addition of the digits at thousands place?
a. 1 + 5 + 3 = B, B = 9. The value of B is 9. (WB1)
7. What is the addition of the digits at ten thousand place?
a. 5 + 9 = 14, The digit will be 4 at tens thousand place and 1 will carry forward to hundreds thousands place. (WB1)
8. What is the addition of the digits at a hundred thousand place?
a. 1 + A = 6, A = 5. The value of A is 5. (WB1)
9. What are the values of A, B, C and D?
a. A = 5, B = 9, C = 9 and D = 9.
10. What is the largest number which can be formed by the digits at A, B, C, and D without repetition?
a. 9995
Hence, Option A is correct
WB:
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