Adding

Divide number 135 into two additions so that one adds 30 more than 2/5 of the other. Write the bigger one.

Correct answer:

a =  75
b =  60

Step-by-step explanation:


135 = a+b
b = 30 + 2/5·a

a+b = 135
2a-5b = -150

Pivot: Row 1 ↔ Row 2
2a-5b = -150
a+b = 135

Row 2 - 1/2 · Row 1 → Row 2
2a-5b = -150
3.5b = 210


b = 210/3.5 = 60
a = -150+5b/2 = -150+5 · 60/2 = 75

a = 75
b = 60

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