Question

Write the quotient when the sum of 94 and 49 is divided by

(i) 11 (ii) 13

Answer 1

Sum of 94 and 49 is to be divided by

(i) 11 (ii) 13

$Letab=94andba=49\therefore a=9andb=4\left(i\right)\text{The quotient of}94+49(i.e.ab+ba)\text{When divided by 11 is}a+bi.e.9+4=13(\because \frac{ab+ba}{11}=a+b)\left(ii\right)\text{The quotient of}94+49(i.e.ab+ba)\text{When divided by 13 i.e}(a+b)is11(\because \frac{ab+ba}{a+b}=11)$