Question

at present alis present age is 1/4th of its father age . after 10 years their ages will add to 60 years what is ali's present age .

Answer 1

Given :

Present age of ali is 1/4th of his father's age.

Sum of ages of ali and his father after 10 years is 60.

To Find :

Present age of ali.

Solution :

Let present of ali be x years.

We are given that, present age of ali is 1/4th of his father's age.

Therefore present age of father will be 4x.

After 10 years,

Age of ali will be (x + 10) years

Age of father will be (4x + 10) years

As per given data, sum of ages of ali and his father after 10 hears is 60$.$

So we can say that,

➙ (x + 10) + (4x + 10) = 60

➙ (x + 4x) + (10 + 10) = 60

➙ 5x + 20 = 60

➙ 5x = 60 - 20

➙ 5x = 40

➙ x = 40/5

➙ x = 8

∴ Present age of ali is 8 years.

Answer 2

Given:

• Present age of Ali is ¼th the age of his father.
• After 10 years, Sum of their ages is 60 years.

To find:

• Present age of Ali?

Solution:

☯ Let's consider the Present age of Ali be x years.

Then, the Present age of Ali will be 4x years.

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$\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}$

• Sum of age of Ali and his father after 10 years will be 60 years.

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Their ages after 10 years,

• Age of Ali = (x + 10) years
• Age of Ali's father = (4x + 10) years

⠀⠀⠀⠀⠀⠀

Therefore,

$:\implies\sf (x + 10) + (4x + 10) = 60$

$:\implies\sf 5x + 20 = 60$

$:\implies\sf 5x = 60 - 20$

$:\implies\sf 5x = 40$

$:\implies\sf x = \cancel{ \dfrac{40}{5}}$

$:\implies{\underline{\boxed{\frak{\purple{x = 8}}}}}\;\bigstar$

• Present age of Ali, x = 8 years
• Present age of Ali's father, 4x = 32 years

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$\therefore\:{\underline{\sf{Present\:age\:of\:Ali\:is\:{\textsf{\textbf{8\:years}}}.}}}$