the average age of mr. and mrs. fernandez 4 years ago is 28 years. If the present average age of Mr. and Mrs. Fernandez and their son is 24 years. What is the age of their son
Answers
The age of their son is 8 years.
Step-by-Step Explanation:
Mr. and Mrs. Fernandes are denoted as F(father), M(mother), and their son as S.
In the past,
F + M/ 2 = 28
F + M = 56(PAST)
F + M = 56 + 8 = 64(PRESENT)
In the present,
F + M + S/ 3 = 24
F + M + S = 72
Solution:
F + M + S = 72 → (Step 1)
F + M = 64 (Substitue this in Step 1)
→ 64 + S = 72
S = 72 – 64
S = 8 YEARS.
Therefore, the age of their son is 8 years.
Given :- the average age of mr. and mrs. fernandez 4 years ago is 28 years. If the present average age of Mr. and Mrs. Fernandez and their son is 24 years. What is the age of their son ?
Solution :-
Let us assume that, Mr.fernandez age 4 years ago was x years and Mrs.fernandez age 4 years ago was y years .
So,
→ 4 years ago = (x + y)/2 = 28
→ (x + y) = 28 * 2 = 56 years. ------------ Eqn.(1)
Now,
→ Present age of Mr.fernandez = (x + 4) years.
→ Present age of Mrs.fernandez = (y + 4) years.
Let us also assume that, their son Present age is z years.
then,
→ Average age of three = 24 years.
→ {(x + 4) + (y + 4) + z} / 3 = 24
→ (x + 4) + (y + 4) + z = 24 * 3 = 72
→ (x + y) + 8 + z = 72
→ (x + y) + z = 72 - 8
→ (x + y) + z = 64
Putting value of Eqn.(1) ,
→ 56 + z = 64
→ z = 64 - 56
→ z = 8 years. (Ans.)
Hence, Present Age of their son is 8 years.
Learn more :-
calculate the median and mode from the following income between (rs)100-200 100-300 100-400 100-500 100-600 no of person...
https://brainly.in/question/23585381
Some students of class X donated for the welfare of old age persons. The contributions are shown in the following distri...
https://brainly.in/question/17314012