Question

7. Three years ago Ram was 10 years older than Shyam. Now, Ram is twice as old as Shyam. Find their present ages.​

Answer 1

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

Answer 2

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

Step-by-step explanation: