The average number of questions Seth and Usha solved was 218. The average number of questions Usha and Fanny solved was 197. The average number of questions Fanny and Seth solved was 183. How many questions did each of them solve?
- Usha
- Seth
- Fanny
(a)
Number of questions that Seth and Usha solved
= 218 x 2
= 436
Number of questions that Usha and Fanny solved
= 197 x 2
= 394
Number of questions that Fanny and Seth solved
= 183 x 2
= 366
Number of questions that Usha solved
= (436 + 394 - 366) ÷ 2
= 464 ÷ 2
= 232
(b)
Number of questions that Seth solved
= 436 - 232
= 204
(c)
Number of questions that Fanny solved
= 394 - 232
= 162
Answer(s): (a) 232; (b) 204; (c) 162