Question

Choose a number from 1 to 9 such that:
AXCX AC = CCC, where the letters A and C stand for different digits.
Please tell me shortcut trick of this question ​

Answer 1

Step-by-step explanation:

the answer will be

A X C X AC = A X C X 10A + C = 100C + 10C + C

= 10A^2C + AC^2 = C (100+10+1)

10A^2 + AC = 111

A ( 10A + C ) = 111

10A + C = 111/A

by finding values we get A is 3, C is 7

By given 3×7×37 = 777

HENCE , PROVED