Dividing rod

The 3m long rod should be divided into two parts so that one is 16cm longer than the other. Find the lengths of both parts.

Correct answer:

a =  1.58 m
b =  1.42 m

Step-by-step explanation:

x=3 m y=16 cm→ m=16:100  m=0.16 m  a=2x​+2y​=23​+2254​​=5079​ m=1.58 m
b=2x​−2y​=23​−2254​​=5071​=1.42=5071​ m=1.42 m   Verifying Solution:   A+B=x A=y+B A+B=3 A=0.16+B  A+B=3 A−B=0.16  Row2−Row1→Row2 A+B=3 −2B=−2.84  B=−2−2.84​=1.42 A=3−B=3−1.42=1.58  A=5079​=1.58 B=5071​=1.42

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