Question

The present age of Sahil's mother is three time the present age of Sahil. After 5 years their ages will add to 66 years. The present age of Sahil is ​

Answer 1

given:-

• Present age of Sahil's Mother = There times the present age of Sahil After 5 Years later the sum of their ages is 66 years

To Find:-

• Present age of Sahil

Solution:-

• ☯ Assuming the present age of Sahil as x and the present age of his mother as 3x

After 5 Years

• Age of Sahil = x+5
• Age of his Mother = 3x+5

✭ According to the Question :

→ (x+5) + (3x+5) = 66

→ x + 5 + 3x + 5 = 66

→ 4x + 10 = 66

→ 4x = 66-10

→ 4x = 56

→ x = 56/4

→ x = 14

━━━━━━━━━━━━━━━━━━━━

Therefore,

● Present age of Sahil = x = 14 years

● Present age of his mother = 3x = 3×14 = 42 years

∴ Present age of Sahil is 14 years

Answer 2

Answer:

Let present age of Sahil =x years

Let present age of Sahil's mother =y years

The present age of Sahil's mother is three times the present age of Sahil.

So,

y=3x ......... (1)

After 5 years their ages add to 66 years.

After 5 years Sahil age =x+5

After 5 years Sahil's mother age =y+5

Now,

x+5+y+5=66

x+y+10=66

x+y=66−10

x+y=56 ......... (2)

From (1) and (2),

x+3x=56

4x=56

x=14 years

From (1),

y=3x

=3(14)

=42 years

present age of Sahil =14 years

present age of Sahil's mother =42 years

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