In a 3-digit number, the ten's digit is thrice the unit digit, and the hundred's digit is twice the one's digit. If the sum of all the digits is 12, what is the number?
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HERE IS YOUR SOLUTION ⤵⤵⤵
⭐⭐____________SOLUTION___________ ⭐⭐
3 DIGIT NO.
LETS TAKE 3 DIGITS AS - A , B AND C
A = UNIT DIGIT
B = TENS DIGIT
C = HUNDREDTH DIGIT
SOL:-
THE TEN'S DIGIT IS THRICE THE UNIT DIGIT..
B = 3A ...(1)
THE HUNDREDTH DIGIT IS TWICE THE UNIT DIGIT..
C = 2A ...(2)
THE SUM OF THREE DIGITS IS 12
A + B + C = 12
USING EQN 1 AND 2...WE GET
A + 3A +2A = 12
6A = 12
A = 12/6
A = 2
THEN ,
B = 3A = 3 × 2 =6
C = 2A = 2 × 2 = 4
PUTTING THESE VALUES IN THREE DIGIT NO..
CBA
= 462
IS THE THREE DIGIT NUMBER..
greengram544:
thanks
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