Question 252437
Let their present ages by a & n
:
Write an equation for each statement:
:
two years ago, Anton was three times as old as his sister, Nathalie.
a - 2 = 3(n-2)
a - 2 = 3n - 6
a = 3n - 6 + 2
a = 3n - 4
:
In 4 years, he will be only twice his sister's age.
a + 4 = 2(n + 4)
a + 4 = 2n + 8
a = 2n + 8 - 4
a = 2n + 4
:
Find their present ages?
Replace a with the 1st equation, find n
3n - 4 = 2n + 4
3n - 2n = 4 + 4
n = 8
:
I'll let you find a