Question

Each different letter in this multiplication problem stands for a different digit. Reconstruct

the problem and find the value of NAG.

DID
x I
———
NAG

Answer 1

NAG = 968

242 * 4 = 968

2 = D

4 = I

Answer 2

• 242 × 4 = 968
• NAG = 968

Explanation:

You want the digits assigned to A, D, G, I, N to satisfy the multiplication problem DID·I = NAG.

Solution

Neither D nor I can be 1, because their product is G (not D or I). There can be no carry from that product. (If there were, the result would have 4 digits, not 3.) This means the least significant digit of I·I must be A, and that product must be more than 10.

I² > 10 ⇒ I ≥ 4

I ≥ 4 ⇒ D = 2, G = 8 and I = 4

Then we have ...

DID × I = NAG ⇒ 242 × 4 = 968

The value of NAG is 968.