Question

The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other,find the numbers.

Answer 1

Step-by-step explanation:

Let the numbers be x and y.

Translate:

"The sum of two numbers is 2,490" means x + y - 2490

"8.5% of the first one is equal to 6.5% of the other" means

(85/1000)x = (65/1000)y

[note: we may write 8.5% or 0.085 or 85/1000 as needed in the problem]

Multiply the second equation by 1000 to get rid of the fraction:

85x = 65y

Solve the first equation for either x or y and substitute into the second equation.

85x = 65(2490 - x)

85x = 161850 - 65x

150x = 161850

x = 1079 [this is easy! it is an integer]

y = 2490 - x

y = 2490 - 1079

y = 1411

Checking (very important):

Is 1079 + 1411 = 2490 ?

2490 = 2490 ?yes

Is (0.085)(1079) = (0.065)(1411) ?

91.715 = 91.715 ? yes [it seems that decimals are a little harder]

Answer 2

Answer:

sum of two numbers=2490

x+y=2490

6.5x%+8.5x%=2490

15x/100=2490

15x=2490*100

x = 2490*100/15

= 166*100

= 16600

1st number= 6.5%x

= 6.5/100*16600

= 1079

2nd number=8.5%x.

= 8.5/100*16600

= 1411

Step-by-step explanation: