The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?
Let the number of boys be 7x and that of girls be 5x. According to the given condition, we have Number of boys = Number of girls +8 ⇒7x=5x+8 ⇒7x−5x=8 ....[Transposing 5x to LHS] ⇒2x=8 ⇒x= 2 8 =4 Therefore, number of boys =7×4=28 and number of girls =5×4=20 So, total number of children in the class =28+20=48. Hence, the class strength is 48.
