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

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Solution

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

Steps: 2 Marks Answer: 1 Mark Let the number be x. One-third of the number ⇒13x One-fifth of the number ⇒15x Given: 13x+15x=32 ⇒5x+3x15=32 ⇒8x15=32 ⇒x=32×158=60 ∴ The required number = 60