One-third of a number added to one-fifth gives 32. Find the number.[3 MARKS]

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One-third of a number added to one-fifth gives 32. Find the number.[3 MARKS]

Options:

Answer: Option A
:

Steps: 2 Marks
Answer: 1 Mark
Let the number be $x$ .
One-third of the number $\Rightarrow \frac{1}{3} x$
One-fifth of the number $\Rightarrow \frac{1}{5} x$
Given: $\frac{1}{3} x + \frac{1}{5} x = 32$
$\Rightarrow \frac{5 x + 3 x}{15} = 32$
$\Rightarrow \frac{8 x}{15} = 32$
$\Rightarrow x = \frac{32 \times 15}{8} = 60$
$∴$ The required number = $60$

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