Question

the sum of 2 numbers is 45 and their is 2:3​

Answer 1

Answer:

let two numbers be x and 45-x.

x/45-x=2/3

3x=90-2x

5x=90

x=18

So the numbers are 18 and 27

Answer 2

Answer:

18 and 27, respectively.

Step-by-step explanation:

Let the two numbers be 2x and 3x, respectively.

Sum of the numbers: 45.

Forming an equation, we get,

2x + 3x = 45

→5x = 45

{Transposing 5 to RHS...}

→x = 45/5

→x = 9

First number: 2x →2×9 →18.

Second number: 3x →3×9 →27.

Checking the Solution...

First number: 18.

Second number: 27.

Sum of the numbers: 18 + 27

→45.

Given Sum of numbers: 45.

45 = 45.

{First Condition Satisfied...}

Ratio of the numbers: 18:27

→2:3.

Given Ratio of the numbers: 2:3.

2:3 = 2:3.

{Second Condition Satisfied...}

Hence, the numbers are 18 and 27, respectively.

{Hope it helped you...}

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