3 years later a sister will be a 4 times as old as her brother, 3years ago the sister age was two times her brother’s age will be 4 years hence. What are their predent ages?
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Let age of sister be x and brother be y.
According to the first condition,
x +3 = 4(y +3)
x + 3 = 4y + 12
x - 4y = 12 - 3
x - 4y = 9 ----------- equation 1
According to second condition,
x- 3 = 2(y- 3)
x - 3 = 2y - 6
x - 2y = -6 + 3
x - 2y = -3 --------- equation 2
By solving 1 and 2
x - 4y = 9
x - 2y = -3
---------------
- 2y = 12
y = 12/-2
y = -6
Substituting the value of y = -6 in equation 1
x - 4y = 9
x - 4(-6) = 9
x + 24 = 9
x= 9 - 24
x = -15
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