The sum of two numbers is 140.
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 = 140
2 u = 140 - 100 = 40
1 u = 40 ÷ 2 = 20
Smaller number = 20
(b)
Larger number
= 1 u + 100
= 20 + 100
= 120
Answer(s): (a) 20; (b) 120