Question

the present age of Arun's father is three times that of Arun. After five years,sum of thier ages would be 70 find their present ages​

Answer 1

Step by step explained.

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Answer 2

Given:

• Present age of Arun's father is three times that of Arun.
• After five years, sum of their ages would be 70.

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To find:

Their present ages.

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Solution:

$\bigstar {\sf {\pink {Let\ Arun's\ present\ age\ be\ x\ years.}}}$

$\bigstar {\sf {\pink {Let\ Arun's\ father's\ present\ age\ be\ 3x\ years.}}}$

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$\bigstar {\sf {\green {Arun's\ age\ after\ 5\ years=(5+x)\ years.}}}$

$\bigstar {\sf {\green {Arun's\ father's\ age\ after\ 5\ years=(3x+5)\ years.}}}$

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Now, we are given that after five years, sum of their ages would be 70.

So,

$\implies \sf {(x+5) + (3x+5) = 70}$

$\implies \sf {x+5+3x+5= 70}$

$\implies \sf {4x+10= 70}$

$\implies \sf {4x= 70-10}$

$\implies \sf {4x= 60}$

$\implies \sf {x= \dfrac {60}{4}}$

$\boxed {\bf {\blue {x = 15}}}$

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Verification:

On substituting the value of x as 15 in the equation,

$\implies \sf {(x+5) + (3x+5) = 70}$

$\implies \sf {(15+5) + (3×15+5) = 70}$

$\implies \sf {20+ 50 = 70}$

$\implies \sf {70 = 70}$

LHS = RHS

Hence Verified!

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Present ages:

• Arun's present age = x

= 15 years

• Arun's father's present age = 3x

= 3×15

= 45 years

Arun's present age is 15 years and his father's present age is 45 years.