Magazine L has 22 fewer pages than Magazine M, and Magazine N has 12 more pages than Magazine M. If Magazine L and Magazine M have a total of 182 pages,
- how many pages does Magazine M have?
- how many pages does Magazine N have?
(a)
Number of pages that Magazine L has = 1 u
Number of pages that Magazine M has = 1 u + 22
Number of pages that Magazine N has = 1 u + 22 + 12
Total number of pages that Magazine L and Magazine M have
= 1 u + 1 u + 22
= 2 u + 22
2 u + 22 = 182
2 u = 182 - 22
2 u = 160
1 u = 160 ÷ 2 = 80
Number of pages that Magazine M has
= 1 u + 22
= 80 + 22
= 102
(b)
Number of pages that Magazine N has
= 1 u + 22 + 12
= 102 + 12
= 114
Answer(s): (a) 102; (b) 114
