g = Gustavs age
f = Fathers age
Gustavs father is 7 times as olda s he is.
f = 7 g
Year ago,he was nine timesa s olda s gustav
( f - 1 ) / ( g - 1 ) = 9
( 7 g - 1 ) / ( g - 1 ) = 9 Multiply both sides by ( g - 1 )
7 g - 1 = 9 ( g - 1 )
7 g - 1 = 9 g - 9 Subtract 7 g to both sides
7 g - 1 - 7 g = 9 g - 9 - 7 g
- 1 = 2 g - 9 Add 9 to both sides
- 1 + 9 = 2 g - 9 + 9
8 = 2 g Divide both sides by 2
4 = g
g = 4
Gustavs father is seven times as olda s he is.a. Year ago,he was nine timesa s olda s gustav. Find gustavs present age
4 answers
f = father
g = Gustav
Write two equations.
f = 7g
f - 1 = 9(g - 1)
Substitute first equation into second.
7g - 1 = 9g - 9
7g - 9g -1 + 1 = 9g - 9g - 9 + 1
-2g = -8
-2g/-2 = -8/-2
g = 4
Substitute g value in either equation.
f = 7(4)
f = 28
Check:
One year ago.....
f is 27 and 9 times older than g
g is 3
27 = 3 * 9
g = Gustav
Write two equations.
f = 7g
f - 1 = 9(g - 1)
Substitute first equation into second.
7g - 1 = 9g - 9
7g - 9g -1 + 1 = 9g - 9g - 9 + 1
-2g = -8
-2g/-2 = -8/-2
g = 4
Substitute g value in either equation.
f = 7(4)
f = 28
Check:
One year ago.....
f is 27 and 9 times older than g
g is 3
27 = 3 * 9
Gustav -- x
his father -- 7x
One year ago:
Gustav -- x-1
his father -- 7x-1
7x-1 = 9(x-1)
7x-1 = 9x - 9
-2x = -8
x = 4
Gustav is now 4 years old
check:
his father is now 28
one year ago, Gustav was 3 and his father would have been 27, which is 9 time Gustav's age
his father -- 7x
One year ago:
Gustav -- x-1
his father -- 7x-1
7x-1 = 9(x-1)
7x-1 = 9x - 9
-2x = -8
x = 4
Gustav is now 4 years old
check:
his father is now 28
one year ago, Gustav was 3 and his father would have been 27, which is 9 time Gustav's age
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