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Sagot :
X=selma
4x=fred
4x+10=2(x+10)
4x+10=2x+20
2x=10
X=5
Thefore selma is 5 years old and fred is 20 years old.
Hope this helps =)
Let Fred be x and Selma be y
Fred is 4 times as old as his niece, Selma
x = 4y
10 years from now, he will be twice as old as she will be.
x + 10 = 2(y + 10)
Let us now substitute the value of x to the second equation
4y + 10 = 2(y + 10)
Multiply
4y + 10 = 2y + 20
Transpose 10 and 8y
4y - 2y = 20 - 10
Subtract
2y = 10
Divide both by 2
2y/2 = 10/2
Therefore
y = 5 (Selma is 5 years old)
Let us now determine the age of Fred
x = 4y
Substitute the value of y
x = 4(5)
Therefore
x = 20
Selma is 5 years old and Fred is 20 years old
I hope it helps
Fred is 4 times as old as his niece, Selma
x = 4y
10 years from now, he will be twice as old as she will be.
x + 10 = 2(y + 10)
Let us now substitute the value of x to the second equation
4y + 10 = 2(y + 10)
Multiply
4y + 10 = 2y + 20
Transpose 10 and 8y
4y - 2y = 20 - 10
Subtract
2y = 10
Divide both by 2
2y/2 = 10/2
Therefore
y = 5 (Selma is 5 years old)
Let us now determine the age of Fred
x = 4y
Substitute the value of y
x = 4(5)
Therefore
x = 20
Selma is 5 years old and Fred is 20 years old
I hope it helps
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