Question

Android to after 7 years three times the age of Lalit will be equal to his father is which is equal to 6 times Lalit present age find present age of father(in years) ​

Answer 1

Correct Question:-

After 7 years, three times the age of Lalit will be equal to his father's age which is equal 6 times Lalit's present age. Find the present age of father(in years).

Answer:

father's age =42 years

Step-by-step explanation:

Given:

>> After 7 years, three times age of lalit will be equal to his father's age.

>> This age is 6 times lalit's present age.

To Find:-

Present age of father =?

Procedure:-

Let's assume the present age of lalit be x

And let father's present age be y

7 years lalit's age would be = x + 7

We know, at this time the age of lalit would be equal to his father is which is equal to 6 times Lalit present age.

Which means, father's age = y + 7 =6x

From the above information we can infer that,

$\sf \implies (6x) =3(x +7)$ [because (y+7) is 6x]

$\sf \implies (6x) =3x +21$

$\sf \implies 6x-3x = 21$

$\sf \implies 3x = 21$

$\sf \implies x = \dfrac{21}{3}$

$\sf \implies x = 7$

Lalit's age = x = 7 years

Father 's age = 6x = 6 × 7 = 42 years

Answer 2

Question:

After 7 years, three times the age of Lalit will be equal to his father is which is equal to 6 times Lalit's present age. Find present age of Lalit's father(in years)

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Let

• Lalit's present age be a years

Given:

• After 7 years three times the age of Lalit will be equal to his father

After 7 years Lalit's age will be : 7+a years

Thus 3 times the age of Lalit after 7 years:

= (7+a) × 3 years

= 21 +3a years ------i

Thus (21+3a years) is his father's age.

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Also given,

• His father's age is equal to 6 times Lalit's present age.

Thus his father's age = 6a years-------ii

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Now both i and ii are Lalit's father's present age

Thus, by equating i and ii we get,

21+ 3a = 6a

⟹ 6a - 3a = 21

⟹ 3a = 21

⟹ $\purple{\bold{a=7years}}$

Lalit's present age = 7years

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His father's age:

= 7 × 6 years (from eq ii)

= $\red{\bold{\large{\boxed{42years}}}}$