Question

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

Answer 1

"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 ?

Answer 2

Answer:

Step-by-step explanation:

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!!!

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