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Ided by 3, quotient is 33 x 4 i.e. 132Il difference is divided by 33, quotient is 3 x 4 i.e. 12.11.PUInthe unit's digit. If the sum of its all three digits is 12. Find the number.Solution. Let the number be abc i.e. 100a + 10b + cwhere unit digit = c, ten's digit = b and hundred's digit = a.Given b = 3c and a = 2cAlso a + b + c = 12From (i) and (ii), we have2c + 30 + c = 12 = 6C = 12 c = 2b = 3c = 3 x 2 = 6 and a = 2c = 2 2 = 4:. The number = 100 x 4 + 10 x 6 + 2 = 400 + 60 + 2 = 462Hence, the required 3-digit number is 462.рi.....Exercise 5.11. Write the following numbers in generalized form:(i) 89(ii) 408(iii) 3692. Write the quotient, when the sum of a 2-digit number 23 and number obtained byreversing the digits is divided by(i) 11(ii) sum of digitsExample 6. In a 3-digit number, the ten's digit is thrice the unit digit and hundred's digits is twice |
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