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