Guide book L has 41 fewer pages than Guide book M, and Guide book N has 30 more pages than Guide book M. If Guide book L and Guide book M have a total of 225 pages,
- how many pages does Guide book M have?
- how many pages does Guide book N have?
(a)
Number of pages that Guide book L has = 1 u
Number of pages that Guide book M has = 1 u + 41
Number of pages that Guide book N has = 1 u + 41 + 30
Total number of pages that Guide book L and Guide book M have
= 1 u + 1 u + 41
= 2 u + 41
2 u + 41 = 225
2 u = 225 - 41
2 u = 184
1 u = 184 ÷ 2 = 92
Number of pages that Guide book M has
= 1 u + 41
= 92 + 41
= 133
(b)
Number of pages that Guide book N has
= 1 u + 41 + 30
= 133 + 30
= 163
Answer(s): (a) 133; (b) 163