Math, asked by bkpandeysikhapur, 4 months ago

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 ​

Answers

Answered by ExᴏᴛɪᴄExᴘʟᴏʀᴇƦ
109

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

Answered by Anonymous
39

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Let present age of Sahil be x

Let present age of Sahil's mother be y

 \large \mapsto \boxed{ \sf \red{Given}}

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

So,

y = 3x ------------------- Equation1

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 ------------ Equation2

From equation 1 and 2,

x + 3x = 56

4x = 56

x = 14 \: years

Hence, Present age of Sahil =14 years

Hope It Helps!! :)

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