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3 years ago

Two numbers are in a ratio 2:3 and their sum is 35.find the numbers

Mathematics

2 answers:

worty [1.4K]3 years ago

7 0

Answer:

$\boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}$

Step-by-step explanation:

Let the numbers be 2x and 3x

Let's create an equation

$\sf{2x + 3x = 35}$

Solve for x.

Collect like terms

$\dashrightarrow{ \sf{5x = 35}}$

Divide both side by 5

$\dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}$

Calculate

$\dashrightarrow{ \sf{x = 7}}$

The value of x is 7.

Now, replacing the value of x in order to find the two numbers :

$\dashrightarrow{ \sf{2x = 2 \times 7 = 14}}$

$\dashrightarrow{ \sf{3x = 3 \times 7 = 21}}$

The numbers are : 14 and 21

Hope I helped!

Best regards! :D

Marysya12 [62]3 years ago

6 0

Answer:

14 and 21 is the answer

Step-by-step explanation:

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Two numbers are in a ratio 2:3 and their sum is 35.find the numbers​

Two numbers are in a ratio 2:3 and their sum is 35.find the numbers