Answered

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The sum of two numbers is 2490. Find the numbers, if 8.5% of the first one is equal to 6.5% of the other.

Sagot :

The sum of two numbers is 2490

x+y= 2490 (a)

8.5% of the first one is equal to 6.5% of the other.​

x (8.5/100) = y (6.5/100) (b)

We have the system of equations:

x+y= 2490 (a)

0.085x = 0.065y (b)

Solve (a) for x:

x = 2490-y

Replace the value of x on (b)

0.085 (2490-y) = 0.065y

Solve for y:

211.65 -0.085y = 0.065y

211.65 = 0.065y+0.085y

211.65= 0.15y

211.65/0.15 = y

1,411 =y

Replace y on any equation and solve for x:

x+y= 2490

x+1411=2490

x=2490-1411

x= 1079

first number = 1079

Second number = 1411

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