# Find the values of the letters in the following and give reasons for the steps involved

**Solution:**

Each letter in the given puzzle must stand for just one digit.

The operation performed here is addition

The addition of A and 3 is giving 6. There can be two cases.

(a) First step is not producing a carry. In that case, A turns out to be 3 as 3 + 3 = 6.

Considering the first step in which the addition of B and 7 is giving A (i.e., 3), B should be a number such that the unit’s digit of this addition comes to be 3. It is possible only when B = 6.

In this case, B = 6 + 7 = 13. However, A is a single-digit number. Hence, it is not possible.

(b)First step is producing a carry. In that case, A turns out to be 2 as 1 + 2 + 3 = 6. Considering the first step in which the addition of B and 7 is giving A (i.e., 2), B should be a number such that the unit’s digit of this addition comes to be 2. It is possible only when B = 5 and 5 + 7 = 12.

Hence, the values of A and B are 2 and 5 respectively.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 16

**Video Solution:**

## Find the values of the letters in the following and give reasons for the steps involved. AB + 37 = 6A

Class 8 Maths NCERT Solutions Chapter 16 Exercise 16.1 Question 4

**Summary:**

The values of the letters A and B are 2 and 5 respectively.

**☛ Related Questions:**

- Find the values of the letters in the following and give reasons for the steps involved. A B × 3 = C A B
- Find the values of the letters in the following and give reasons for the steps involved. A B × 5 = C A B
- Find the values of the letters in the following and give reasons for the steps involved. A B × 6 = B B B.
- Find the values of the letters in the following and give reasons for the steps involved. A 1 + 1 B = B 0.

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