Question

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

Step-by-step explanation:

Let the two numbers be x and y

x+y= 1280

(3.5/100)x= (4.5/100)y

Cancelling 100 on both sides, we get,

3.5x= 4.5y

Now,

x= 1280-y

So, 3.5(1280-y)=4.5y

4480-3.5y=4.5y

4480=8y

Therefore, y = 4480/8= 560

Therefore, x= 1280-y= 1280-560= 720

Therefore two numbers are 720 and 560.

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Answer 2

Answer:

let one no. be x and another be y

ACC to ques.

x+y= 1280.........(1)

and.

$\frac{ 3.5}{100} \times x = \frac{4.5}{100} \times y$

$x = \frac{4.5}{3.5} \times y .........(2)$

put x in eq 1

we get

$\frac{45}{35} \times y + y = 1280 \\ 80 \times y = 1280 \times 35 \\ y = 1280 \times \frac{35}{80} \\ y = 560$

put in 2

$x = \frac{45}{35} \times 560 \\ x = 45 \times 16 \\ x = 720$

hope this will help you