Question

The ratio of the ages of Anthony and Amar is 6:7. Albert is 4 years older than Amar. Find the age of Albert, if the sum of their ages is 1 year more than thrice the age of Amar.
O
(a) 15 years
(b) 25 years
(c) 26 years
(d) 20 years​

Answer 1

Answer:

Option(B)

Step-by-step explanation:

Given ratio is 6:7.

Let the ages of Anthony and Amar be 6x and 7x respectively.

Given that Albert is 4 years older than Amar.

Albert's age = 7x + 4.

Sum of ages of Albert and Anthony is 1 year more than thrice the Amar age.

= 1 + 3(7x)

Now,

According to the given, condition

⇒ 6x + 7x + 7x + 4 = 1 + 3(7x)

⇒ 20x + 4 = 21x + 1

⇒ 20x - 21x = 1 - 4

⇒ x = 3.

Hence:

Age of Albert = 7x + 4

                     = 7(3) + 4

                     = 25 years.

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Answer 2

$\bf\huge\gray{Answer}$

Given :

>The ratio of the ages of Anthony and Amar is 6:7

>Albert is 4 years older than Amar

So :

> Let age of Anthony = 6 x

>Let age of Amar =7 x

Given :

>The sum of their ages is 1 year more than thrice the age of Amar.

So :

> ALBERT age = (7x+4) year

>sum of their ages = 3 (7x)+1

Now :

Obtain the relations between their ages using the given ratio .

Solve the above equation :

$\sf {> > 6x + 7x + 7x + 4 = 3(7x) + 1}$

$\sf{> > 20x + 4 = 21x + 1}$

$\sf{x = 3 }$

Now :

• Albert ages = (7x+4) year
• Albert ages=(7)×(3)+4 year
• Albert ages=21+4 year
• Albert ages = 25 years

Final Answer :

• The age of Albert is 25 years

• So option b) 25 years is correct

$\bf\huge\gray{Thanks}$