Let the numbers be 11 x and 11 y , where x and y are co-prime integers. Sum of numbers =11x+11y Difference of numbers =|11x−11y| Calculation: 11x+11y=132 ⇒11(x+y)=132 ⇒x+y=132∕11=12 Possible co-prime pairs (x,y) such that x+y=12 are (1,11) and (5,7). Case 1: x=1,y=11 Numbers are 11×1=11 and 11×11=121. ( 11 is not >42, so this case is rejected) Case 2: x=5,y=7 Numbers are 11×5=55 and 11×7=77. (Both are >42 ) Difference =|55−77| ⇒ Difference =|−22| ⇒ Difference =22