Page 52 - Algebra

4+6=1 𝑥 120 15
4+1 =1 𝑥 20 15
411
=–
𝑥 15 20
4=1 𝑥 60
6.
7.
8.
x = 240 days
The women will take 240 days to complete the work when working alone.
Let Susanne’s age be x
Peter’s age by y
x – y = 5..............(1)
Age of Rosy =2x
y = 3(Age of Kelly)
Age of Rosy – Age of Kelly = 55
𝑦
2x- =55
3
6x – y = 165 ......... (2)
(2) – (1)
5x = 160
x = 32 years
y = 27 years
Susanne = 32 years
Peter = 27 years
Let the number in ten’s place be x
Number = 10x + u
x = u+ 5
Number = 10 (u + 5) + u
Number = 11u + 50
Let the first multiple of 4 be x
Second multiple = x + 4
Third multiple = x + 8
x + x + 4 + x + 8 = 444
3x + 12 = 444
3x = 432
x = 144
Largest multiple = x + 8 = 144 + 8 = 152
9. B:G=5:6 𝐵=5
𝐺6
6B = 5G
G = B + 10
Page 51 of 177
Algebra I & II