Math, asked by sofiya71, 8 months ago

The sum of tow numbers is 28. if one of the tow numbers is 4/3 times the other number, find the numbers​

Answers

Answered by armaanverma093
2

Answer:

x=1/12,another number is 4/3 X 1/12=4/36=1/9

Step-by-step explanation:

Sum=28

let one number be x

Another number =4/3 of x (given)

According to the question,

x+4/3 x=28

3/3x+4/3x=28

7/3x=28

7=28 X 3x

7=84x

x=7/84

x=1/12

Answered by Saby123
17

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CORRECT QUESTION -

The sum of two numbers is 28.

If one of the two numbers is 4/3 times the other number, find the numbers.

CONCEPT USED -

Solving Algebraic Equations

SOLUTION -

From the above Question, we can gather the following information...

The sum of two numbers is 28.

One of the two numbers is 4/3 times the other number.

Let one of the numbers be x

So,

The other number :

 => \dfrac{4}{3} x

Now, their sum is 28.

Hence :

 x + \dfrac{4}{3} x = 28 \\ \\ => \dfrac{ 3x + 4x} { 3 } = 28 \\ \\ => \dfrac{7}{3} x = 28 \\ \\ => x = 28 \times \dfrac{3}{7}

\\ \\ => x = \dfrac{ \cancel{7} \times 4 \times 3 }{ \cancel{7} } \\ \\ => x = 12

Number 1 :

=> x = 12

Number 2 :

=> x = ( 4 / 3 ) × 12 = 16

So, the required numbers are 12 and 16 respectively.

ANSWER -

Yhe required numbers are 12 and 16 respectively.

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