Guide book S has 61 fewer pages than Guide book T, and Guide book U has 12 more pages than Guide book T. If Guide book S and Guide book T have a total of 135 pages,
- how many pages does Guide book T have?
- how many pages does Guide book U have?
(a)
Number of pages that Guide book S has = 1 u
Number of pages that Guide book T has = 1 u + 61
Number of pages that Guide book U has = 1 u + 61 + 12
Total number of pages that Guide book S and Guide book T have
= 1 u + 1 u + 61
= 2 u + 61
2 u + 61 = 135
2 u = 135 - 61
2 u = 74
1 u = 74 ÷ 2 = 37
Number of pages that Guide book T has
= 1 u + 61
= 37 + 61
= 98
(b)
Number of pages that Guide book U has
= 1 u + 61 + 12
= 98 + 12
= 110
Answer(s): (a) 98; (b) 110