Choose a number from 1 to 9 such that:AXCX AC = CCC, where the letters

1.	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» 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

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»

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

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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 ​

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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