Question

Find the missing digits represented by the letters in the given addition equation and form the smallest odd number without repeating the digits.

• A. 22785
• B. 25287
• C. 22578
• D. 22587

Answer 1

The correct option is D 22587

Say:
1. The subtraction of two numbers are given with a few missing digits in it

Steps:
1. What do we need to determine?
a. The smallest odd number that can be formed by the missing digits without repeating them
2. How will you determine it?
a. By subtracting each digit one by one
3. What is the result of subtracting the digits at the ones place?
a. E - 2 = 0. The value of E is 2. (WB1)
4. What is the result of subtracting the digits at the tens place?
a. D - 6 = 1, D = 7. The value of D is 7. (WB1)
5. What is the result of subtracting the digits at the hundreds place?
a. C - 7 = 8, C = 7 + 8 = 15, but the value of C should be a single digit, so it is 5. We carried 1 from the thousands digit. The value of C is 5. (WB1)
6. What is the result of subtracting the digits at the thousands place?
a. 6 on the thousands place will become 5 as it has given 1 as carry to hundreds place. So, 5 - 3 = B, B = 2. The value of B is 2. (WB1)
7. What is the result of subtracting the digits at the ten thousands place?
a. A - 4 = 4, A = 8 (WB1)
8. What are the values of A, B, C, and D?
a. A = 8, B = 2, C = 5, D = 7, and E = 2
9. What is the smallest odd number which can be formed by the digits at A, B, C, and D without repeating them?
a. 22587
Hence, Option A is correct.

WB:
(WB1)

Q: Why have we not selected 22578?
A: 22578 is not the smallest odd number.