Question

the sum of two number is 1280 if 3.5%of one number is equal to 4.5% of another number then find two number
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Answer 1

One number is 720 and other number is 560.

Step-by-step explanation:

Given,

Sum of two numbers = 1280

Let the first number be x and the second number be y.

According to question,

3.5% of x= 4.5% of y

$\frac{x}{y} = \frac{4.5}{3.5}$

$\frac{x}{y} = \frac{9}{7}$

⇒x = 9a, y=7a  [where a is a common multiple]

Also , 9a+7a = 1280

          16a = 1280

           a =$\frac{1280}{16}$

                  a  = 80

So,$x = 9\times 80, y=7\times 80$

     x= 720,y=560

Hence,One number is 720 and other number is 560.

Answer 2

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Given,

Sum of two numbers = 1280

Let the first number be x and the second number be y.

According to question,

3.5% of x= 4.5% of y

$\frac{x}{y} = \frac{4.5}{3.5}$

$\frac{x}{y} = \frac{9}{7}$

⇒x = 9a, y=7a [where a is a common multiple]

Also , 9a+7a = 1280

16a = 1280

$a =\frac{1280}{16}$

a = 80

So,x = 9 × 80, y=7 × 80

» x= 720

» y=560

Hence,One number is 720 and other number is 560.