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Ratio and Proportion — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSRatio and Proportion1 Mark
Question
If (3a + 5b) : (3a - 5b) = 5 : 1, then a : b = 5 : 2.
✓

Answer

True.
Solution:
$\frac{3\text{a}+5\text{b}}{3\text{a}-5\text{b}}=\frac{5}{1}$
$\Rightarrow3\text{a}+5\text{b}=15\text{a}=25\text{b}$
$\Rightarrow12\text{a}=30\text{b}$
$\Rightarrow\frac{\text{a}}{\text{b}}=\frac{30}{12}=\frac{5}{2}$
$\therefore\text{a : b}=5:2$

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