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Three years ago, Rashmi was thrice as old as Nazma. Ten years later, Rashmi will be twice as old as Nazma. How old are Rashmi and Nazma now?
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Let present age of Rashmi and Nazma be $x$ years and $y$ years respectively.
Therefore, $x - 3 = 3 (y - 3)$
or $x - 3y + 6 = 0$
and $x + 10 = 2 (y + 10)$
or $x - 2y - 10 = 0$
Solving equations to get $x = 42, y = 16$
$\therefore$ Present age of Rashmi is $42$ years and that of Nazma is $16$ years.
Therefore, $x - 3 = 3 (y - 3)$
or $x - 3y + 6 = 0$
and $x + 10 = 2 (y + 10)$
or $x - 2y - 10 = 0$
Solving equations to get $x = 42, y = 16$
$\therefore$ Present age of Rashmi is $42$ years and that of Nazma is $16$ years.