Question

Write the quotient when the sum of 73 and 37 is divided by

(i) 11 (ii) 10

Answer 1

Sum of 73 and 37 is to be divided by

(i) 11 (ii) 10

$Letab=73andba=37\therefore a=7andb=3\left(i\right)\text{The quotient of}ab+bci.e.(73+37)\text{when divided by 11 is}a+b=7+3=10(\because \frac{ab+ba}{11}=a+b)\left(ii\right)\text{The quotient of}ab+bai.e.(73+37)\text{when divided by 10}(i.e.a+b)is11(\because \frac{ab+ba}{a+b}=11)$