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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Accepted Answer

Step 1: Let present age of Rashmi be $x$ years and Nazma be $y$ years respectively.
Therefore, $x - 3 = 3(y - 3)$
or $x - 3y + 6 = 0$
Step 2: and $x + 10 = 2(y + 10)$
or $x - 2y - 10 = 0$
Step 3: Solving equations to get $x = 42, y = 16$
$	herefore$ Present age of Rashmi is 42 years and that of Nazma is 16 years.

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