7. Three years ago Ram was 10 years older than Shyam. Now, Ram is twice as old as Shyam. Find their present ages.
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7. Three years ago Ram was 10 years older than Shyam. Now, Ram is twice as old as Shyam. Find their present ages.
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Answer:
If Ram is 10 years older than Shyam 3 years ago
⇒ Ram will still be 10 years older than Shyam now
Define x:
Let Shyam be x years old
Ram is x + 10 years old
solve x:
Ram is twice as old as Shyam:
x + 10 = 2x
Take away x from both sides:
10 = x
Switch sides:
x = 10
Find their current age:
Shyam = x = 10 years old
Ram = x + 10 = 20 years old
Answer: Ram is 10 years old and Ram is 20 years old