Determine 7836

We want to cut a 90 cm long rod into two parts so that the longer part of the rod is 2 cm shorter than three times the shorter part. Determine the lengths of both parts of the rod.

Correct answer:

a =  67 cm
b =  23 cm

Step-by-step explanation:


a+b=90
a = 3b-2

a+b=90
a = 3·b-2

a+b = 90
a-3b = -2

Row 2 - Row 1 → Row 2
a+b = 90
-4b = -92


b = -92/-4 = 23
a = 90-b = 90-23 = 67

a = 67
b = 23

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