Separate 100 into three parts such that the second part is 2/5 the first, and the third is 3/5 the first.

Let first part — n
Let second part = (2/5)n Let the third part = (3/5)n
Equation: n + (2/5)n + (3/5)n = 100
Solve'for n (5/5)n + (2/5)n + (3/5)n = 100
(10 / 5)n = 100
n = (5 110) * 100
n = 50
First Part = 50
Second Part = (2/5) 50 = 20 Third Part = (3/5) 50 = 30

Solution: First part = 50, second part = 20, and third part = 30.
Check: 50 + 20 + 30 = 100 Condition 1
50 + (2/5)* 50 + (3/5) * 50 = 100 Condition 2
50 + 20 + 30 = 100
Both conditions are satisfied.