The sum of two numbers is 130.
The difference between the two numbers is 100.
- The smaller number.
- The larger number.
(a)
Let the smaller number be 1 u.
Larger number = 1 u + 100
Total
= 1 u + 1 u + 100
= 2 u + 100
2 u + 100 = 130
2 u = 130 - 100 = 30
1 u = 30 ÷ 2 = 15
Smaller number = 15
(b)
Larger number
= 1 u + 100
= 15 + 100
= 115
Answer(s): (a) 15; (b) 115