Three-digit 2842

Determine the three numbers that are in the ratio 1:2/3:3/4, and the sum of the first two equals the smallest three-digit number.

Correct answer:

a =  60
b =  40
c =  45

Step-by-step explanation:


2/3 a = b
3/4 b = 2/3 c
a+b=100

2/3·a = b
3/4·b = 2/3·c
a+b=100

2a-3b = 0
9b-8c = 0
a+b = 100

Row 3 - 1/2 · Row 1 → Row 3
2a-3b = 0
9b-8c = 0
2.5b = 100

Row 3 - 2.5/9 · Row 2 → Row 3
2a-3b = 0
9b-8c = 0
2.222c = 100


c = 100/2.22222222 = 45
b = 0+8c/9 = 0+8 · 45/9 = 40
a = 0+3b/2 = 0+3 · 40/2 = 60

a = 60
b = 40
c = 45

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Check out our ratio calculator.
Do you have a system of equations and looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: