SOLUTION: i think of a pair of numbers.if i add 7 to the first.i obtain a number which is twice the second if i add 20 to the second.i obtain a number which is four times the first.what are

Question 408092: i think of a pair of numbers.if i add 7 to the first.i obtain a number which is twice the second if i add 20 to the second.i obtain a number which is four times the first.what are the numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
i think of a pair of numbers.
if i add 7 to the first.i obtain a number which is twice the second if i add 20 to the second.i obtain a number which is four times the first.what are the numbers?
:
Two numbers, x & y
:
"I think of a pair of numbers, If I add 7 to the first, I obtain a number which is twice the second"
x + 7 = 2y
x = (2y-7)
:
"If I add 20 to the second, I obtain a number which is four times the first."
4x = y + 20
Replace x with (2y-7)
4(2y-7) = y + 20
8y - 28 = y + 20
8y - y = 20 + 28
7y = 48
y =
y = 6; the 2nd number
:
Find x:
x = 2y - 7
x = 2( - 7
x = -
x =
x = 6; the 1st number
:
:
Check solutions in the statement:
"If I add 20 to the second, I obtain a number which is four times the first."
+ 20 = 4()
+ =
= ; confirms our solutions

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