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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
The value of $0.\overline{23}+0.\overline{22}$ is:
  • ✓
    $0.\overline{45}$
  • B
    $0.\overline{43}$
  • C
    $0.\overline{45}$
  • D
    $0.45$
✓

Answer

Correct option: A.
$0.\overline{45}$

 Let $\text{x}=0.\overline{23}=0.232323...(1)$
Now, $\text{y}=0.\overline{22}=0.22222...(2)$
Adding equation $(1)$ and $(2),$ we get
$\text{x}+\text{y}=0.454545=0.\overline{45}$
$\Rightarrow0.\overline{23}+0.\overline{22}=0.\overline{45}$
Hence, option $(a)$ is correct.

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