Question

the ratio of two numbers is 2 to 3. if the smaller number is 10 what is the larger number
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Answer 1

2x= 10

x= 5

3x = 15

Smaller number= 10

Larger number = 15

Answer 2

Answer:

Given:-

• The ratio of two numbers is 2 : 3.
• The smaller number is 10

To find:-

The larger number

Solution:-

Let the numbers are 2x and 3x

Here,

$\qquad\sf 2x\lt 3x$

ATQ

$\qquad\qquad\displaystyle{:}\longrightarrow 2x=10$

$\qquad\qquad\displaystyle{:}\longrightarrow x=\dfrac {10}{2}$

$\qquad\qquad\displaystyle{:}\longrightarrow x=5$

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$\qquad\qquad\displaystyle{:}\longrightarrow 3x=3\times 5$

$\qquad\qquad\displaystyle{:}\longrightarrow 3x=15$

Hence

The larger number is 15.