Magic number

The number 135 split into two addends so that one addend was 30 greater than 2/5 the addend.

Correct answer:

a =  60
b =  75

Step-by-step explanation:


a+b=135
a = 30 + 2/5 b

a+b=135
a = 30 + 2/5·b

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

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

Row 2 - 1/5 · Row 1 → Row 2
5a-2b = 150
1.4b = 105


b = 105/1.4 = 75
a = 150+2b/5 = 150+2 · 75/5 = 60

a = 60
b = 75

Our linear equations calculator calculates it.



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