Novel W has 36 fewer pages than Novel X, and Novel Y has 36 more pages than Novel X. If Novel W and Novel X have a total of 138 pages,
- how many pages does Novel X have?
- how many pages does Novel Y have?
(a)
Number of pages that Novel W has = 1 u
Number of pages that Novel X has = 1 u + 36
Number of pages that Novel Y has = 1 u + 36 + 36
Total number of pages that Novel W and Novel X have
= 1 u + 1 u + 36
= 2 u + 36
2 u + 36 = 138
2 u = 138 - 36
2 u = 102
1 u = 102 ÷ 2 = 51
Number of pages that Novel X has
= 1 u + 36
= 51 + 36
= 87
(b)
Number of pages that Novel Y has
= 1 u + 36 + 36
= 87 + 36
= 123
Answer(s): (a) 87; (b) 123
