Question

The LCM of two numbers is 280 and their ratio is 7 : 8. The two numbers are?

Answer 1

let the numbers be 7x and 8x
their lcm =56x
so
$56x = 280 \\ x = \frac{280}{56} \\ x= 5$
mark as brainliest if helped

Answer 2

Answer:

The two numbers are 35 and 40.

Step-by-step explanation:

It is given that LCM of two numbers is 280 and their ratio is 7 : 8.

Let the two numbers are 7x and 8x.

The LCM of 7x and 8x is the product of 7, 8 and x.

$LCM(7x,8x)=7\times 8\times x$

$280=56x$

$280=56x$

$5=x$

The value of x is 5.

The two numbers are

$7x=7\times (5)=35$

$8x=8\times (5)=40$

Therefore the two numbers are 35 and 40.