SOLUTION: The first of two numbers is 7 more than the second number. When the first number is doubled, it is 3 times the second number. Find the numbers.

Question 1083732: The first of two numbers is 7 more than the second number. When the first number is doubled, it is 3 times the second number. Find the numbers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let a = the 1st number
let b = the 2nd number
:
Write an equation for each statement
"The first of two numbers is 7 more than the second number."
a = b + 7
" When the first number is doubled, it is 3 times the second number."
2a = 3b
Find the numbers.
Replace a with (b+7) in the 2nd equation
2(b+7) = 3b
2b + 14 = 3b
14 = 3b - 2b
14 = b
then obviously a = 21
:
;
Check solutions in the 2nd equations: 2(21) = 3(14)

RELATED QUESTIONS
One number is 7 less than a second number. Twice the second number is 26 more than 3... (answered by Stitch)

the sum of two numbers is 65, the first number is 9 more than 3 times the second... (answered by ikleyn)

In a set of numbers, the second number is 3 more than twice the first, and the third... (answered by ikleyn)

Of the two numbers,the first number is three less than the second number.two times the... (answered by mananth)

one number is 3 times less than a second number. twice the second number is 30 more than... (answered by knighty2002uk)

one number is two more than a second number. twice the first number is four less than 3... (answered by ptaylor)

one number is 7 more than the second number.Three times the first is 8 less than 4 times... (answered by stanbon)

One number is is 3 less than a second number. Twice the second number is 34 more than 4... (answered by JulietG)

One number is 3 less than a second number. Twice the second number is 12 more than 3... (answered by fractalier)