Question

after twelve years uday will be three times as old as he was four years ago. find his present age.​

Answer 1

Answer:

Uday is presently 12 years old.

Step-by-step explanation:

Gívєn -

After Twelve years, Uday will be three times as old as he was four years ago.

Tσ fínd -

His present age

Sσlutíσn -

✯ Let the Ages be -

• Present age of Uday = x
• After 12 Years = (x + 12)
• Before 4 years = (x - 4)

$\rule{300}{1.5}$

✯ According to the Question -

After Twelve years, Uday will be three times as old as he was four years ago.

$\bf{\implies} \: x + 12 = 3(x - 4) \\ \sf{\implies} \:x + 12 = 3x - 12 \\ \sf{\implies} \:x - 3x = - 12 - 12 \\ \sf{\implies} \: \cancel- 2x = \cancel- 24 \\ \sf{\implies} \:x = \frac{24}{2} \\ \sf{\implies} \:x = 12$

Uday's present age = 12 Years

$\therefore$ Uday is presently 12 years old.

$\rule{300}{1.5}$

Verification :-

$\sf{\implies} \: (12 + 12) = 3(12 - 4) \\\sf{\implies} \:24 = 36 - 12 \\ \sf{\implies} \:24 = 24$

$\therefore$ Uday is presently 12 years old.