10 more than 8 times a whole number is 20 more than 6 times that number. Find the number.
2006-12-10 13:22:32 · 7 answers · asked by bullfiter 1 in Science & Mathematics ➔ Mathematics
the number is 5
8x+10=6x+20
-6x from both sides
2x+10=20
-10 from both sides
2x=10
*1/2 on both sides
x=5
2006-12-10 13:27:13 · answer #1 · answered by asdf77 2 · 3⤊ 0⤋
1) Define a variable:
Let x = the number
2) Write an equation.
10 + 8x = 20 + 6x
3) Solve the equation for the variable (x).
10 + 8x = 20 + 6x --- Subtract 6x from each side...
10 + 2x = 20 --- Subtract 10 from each side...
2x = 10 --- Divide both sides by 2...
x = 5
ANSWER: The number is 5.
CHECK:
10 more than 8 times (5) is 20 more than 6 times (5).
10 + 8(5) = 20 + 6(5)
10 + 40 = 20 + 30
50 = 50 --- Answer checks out! Five is the correct number!
2006-12-10 21:35:41 · answer #2 · answered by Anonymous · 2⤊ 0⤋
5
5*8= 40 + 10 = 50
5*6= 30 + 20 = 50
2006-12-10 21:31:19 · answer #3 · answered by Anonymous · 2⤊ 1⤋
10 + 8x = 20 + 6x
8x -6x = 20 - 10
2x = 10
x = 10/2
x = 5
2006-12-10 21:30:26 · answer #4 · answered by jamaica 5 · 3⤊ 0⤋
8n+10=6n+20
Subtract 6n on both sides:
2n+10=20
Subtract 10 on both sides:
2n=10
Divide 2 on both sides:
n=5
Check:
8(5)+10=6(5)+20
40+10=30+20
50=50
2006-12-10 21:44:21 · answer #5 · answered by Anonymous · 1⤊ 0⤋
8x+10 = 6x+20
2x = 10
x=5
2006-12-10 21:26:20 · answer #6 · answered by Modus Operandi 6 · 3⤊ 1⤋
its hard
2006-12-10 21:25:45 · answer #7 · answered by beauty mirna 3 · 0⤊ 2⤋