Question

Guys please answer this maths question with detail plz warning: if u write anything else I report it.
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Answer 1

Answer:

• Present age of father = 52.5 Years
• Present age of his son = 7.5 years .

Step-by-step explanation:

According to the Question

It is given that,

• Father's age is 45 years elder than his son .

Let the present age of his son be x years

Then , his father's age be (x+45) years

15 Years after , father's age will be three times as old as his son .

$:\implies$ x+45+15 = 3(x+15)

$:\implies$ x+60 = 3x + 45

$:\implies$ 60-45 = 3x-x

$:\implies$ 15 = 2x

$:\implies$ 15/2 = x

$:\implies$ x = 7.5Years

Now, putting the value of x = 7.5 years we get

$:\implies$ x + 45

$:\implies$ 7.5+45

$:\implies$ 52.5 years

• Hence, the present age of father is 52.5 years
• Present age of his son is 7.5 years .

Answer 2

Answer:

• Present age of son is 7.5 years
• Present age of father is 52.5 years

Step-by-step explanation:

Given :-

• A father is 45 years elder than his son.
• In 15 years, the father will be three times as old as his son.

To Find :-

• Their present age?

Solution :-

• Let present age of son be y years.
• As it is stated in question that a father is 45 years elder than his son. So, present age of father will be (y + 45) years.

★ Their ages after 15 years ::

• Age of son = (y + 15) years
• Age of father = y + 45 + 15 = (y + 60) years

★ According to the Question ::

• In 15 years, the father will be three times as old as his son.

Therefore,

➧ Age of father = 3(Age of son)

➧ y + 60 = 3(y + 15)

➧ y + 60 = 3y + 45

➧ y - 3y = 45 - 60

➧ -2y = -15

➧ 2y = 15

➧ y = 15/2

➧ y = 7.5

• Hence, present age of son 7.5 years.

Now we know that,

➧ Present age of father = (y + 45) years

Putting y = 7.5 we get,

➧ Present age of father = (7.5 + 45) years

➧ Present age of father = 52.5 years

• Hence, present age of father is 52.5 years.

Verification :-

• We know that according to the question, In 15 years, the father will be three times as old as his son.

Therefore,

➧ Age of father = 3(Age of son)

➧ y + 60 = 3(y + 15)

Putting y = 7.5 we get,

➧ 7.5 + 60 = 3(7.5 + 15)

➧ 67.5 = 3(22.5)

➧ 67.5 = 3 × 22.5

➧ 67.5 = 67.5

➧ LHS = RHS

• Hence, verified.

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