Question

A series of maths books consists of four volumes. The first has x pages and the second has 54 more. The third and fourth volumes have 32 more pages than the second volume. The number of pages of all volumes is 866. Calculate the number of pages in each volume.

Answer 1

Answer:

1st volume = 160

2nd volume = 160 + 54 = 214

3rd volume = 160 + 54 + 32 = 246

4th volume = x + 54 + 32 = 246

Step-by-step explanation:

Given that:

Number of volumes = 4

1st volume = x pages

2nd volume = 54 more = x + 54

3rd volume = 32 more = x + 54 + 32

4th volume = 32 more = x + 54 + 32

Total number of pages = 866

Hence,

1st + 2nd + 3rd + 4th = 866

x + x + 54 + x + 54 + 32 + x + 54 + 32 = 866

4x + 226 = 866

4x = 640

x = 160

1st volume = 160

2nd volume = 160 + 54 = 214

3rd volume = 160 + 54 + 32 = 246

4th volume = x + 54 + 32 = 246