• question_answer The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is: A) 20                    B)          30 C) 38                    D)          48

Let A, B and C be the first, second and third nos. respectively. Then, A : B = 2 : 3 and B : C = 5 : 8 Consider, $A:B=2:3=2\times 5:3\times 5=10:15$ and $B:C=5:8=5\times 3:8\times 3=15:24$ $\therefore \,\,\,A:B:C=10:15:24$ Let the required number be 10x, 15x and 24x. Given sum of three numbers = 98 Then, $\therefore \,\,\,\,10x+15x+24x=98$ $\Rightarrow \,\,49x=98\Rightarrow \,x=2$ $\Rightarrow \,$ Second number $=15x=15\times 2=30$