The sum of two numbers is 2490 and if 6.5 percent of one no. is equal to 8.5 percent of the other, then numbers are ?? Make sure it’s correct answer pls! 20 points for brainliest

The two number are :

x = 1411

y = 1079

Step-by-step explanation:

Let the two numbers = x and y

The sum of two numbers is 2490

x + y = 2490 Equation 1

If 6.5 percent of one no. is equal to 8.5 percent of the other,

Hence:

6.5% of x = 8.5% of y

0.065x = 0.085y

Make x the subject of the Formula

x = 0.085y/0.065

x = 1.308y

We substitute 1.308y for x Equation 1

x + y = 2490 Equation 1

1.308y + y = 2490

2.308y = 2490

y = 2490/2.308

y = 1078.8561525

y = 1079

x + y = 2490 Equation 1

x = 2490 - y

x = 2490 - 1079

x = 1411

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a is the correct