Question

The sum of two numbers is 3000. If 8% of one number is equal to 12% of the other, find the number​

Answer 1

Answer:

The number are 1200 and 1800

Step-by-step explanation:

Given that,

$x + y = 3000$

And,

$\frac{8}{100}x = \frac{12}{100}y$

Now,

$\frac{8}{100}x = \frac{12}{100}y$

$2x = 3y$

$y = \frac{2x}{3}$

So,

$x + y = 3000$

$x + \frac{2x}{3} = 3000$

$\frac{3x + 2x}{3} = 3000$

$5x = 3000 \times 3$

$5x = 9000$

$x = 1800$

∴ $y = \frac{2 \times 1800}{3} \\y = 1200$

∴ The two numbers are 1200 and 1800