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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 the ages of Albert and Anthony is 1 year more than thrice the age of Amar.
A) 21 years
B) 25 years
C) 18 years
D) None of these
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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.
Hope it helps!
Step-by-step explanation:
Anthony:Amar = 6:7....(i)
Albert = 4 + Amar.......(ii)
Albert + Anthony + Amar = 1 + 3*Amar.....(iii)
(ii) in (iii)
4 + Amar + Anthony + Amar = 1 + 3Amar
3 + Anthony = 3Amar - 2Amar = Amar
Amar = 3 + Anthony....(iv)
From (i): Anthony/Amar = 6/7
Anthony/3 + Anthony = 6/7
7 Anthony = 18 + 6 Anthony
Anthony = 18 years..
Amar = 18+3 = 21 years
Albert = 4 + Amar = 4 + 21 = 25 years
Hence age of Albert = 25 years.
Hope it helps.