Question

the present age of farhaan is four times thee present age of Robin. 7years ago their ages added to 36 years. find their present ages

Answer 1

Let present age of Robin be x
Then, present age of Farhan is 4x
7 years ago,
$(x - 7) + (4x - 7) = 36 \\ 5x - 14 = 36 \\ 5x = 50 \\ x = 10$
So present ages are 10 and 40

Answer 2

Appropriate Question:

The present age of Farhaan is four times the present age of Robin. Seven years ago, their ages will add up to 36 years. Find their present ages.

Answer:

$\fbox\green{\sf Robin's\:age = 10\:years}$

$\fbox\green{\sf Farhaan's\:age = 14\:years}$

Step-by-step explanation:

$\leadsto\underline\mathtt\red{Letting\:their\:age:-}$

• Age of Robin = x
• Age of Farhaan = 4x

$\leadsto\underline\mathtt\red{Seven\:years\:ago:-}$

• Age of Robin = (x - 7)
• Age of Farhaan = (4x - 7)

$\mapsto\underline\mathtt\green{Equation:-}$

:$\implies\textsf{(x-7)+(4x-7)=36}$

:$\implies\textsf{x-7+4x-7 = 36}$

:$\implies\textsf{5x-14=36}$

:$\implies\textsf{5x=36+14}$

:$\implies\textsf{5x=50}$

:$\implies\sf{x= \cancel{\dfrac{50}{5}}}$

:$\implies\fbox\red{\sf x = 10}$

$\leadsto\underline\mathtt\red{Putting\:the\:value\:of\:x:-}$

• Robin's age = x = 10 years
• Farhaan's age = 4x = 4(10) = 40 years

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