The respective ratio between the present ages of Amu and Dina is 5 : 3. Dina is 6 years younger than Cathy. If at present Amu’s age is equal to Cathy’s age 6 years hence, what is amus present age?
Answers
Correct Question:-
The respective ratio between the present ages of Amu and Dina is 5 : 3. Dina is 6 years younger than Cathy. If at present Amu's age is equal to Cathy's age 6 years hence, what is Amu's present age?
Answer:-
Given:-
Ratio of present ages of Amu & Dina = 5 : 3.
Let,
- Amu's present age = 5x
- Dina's present age = 3x
And,
Dina is 6 years younger than Cathy.
Let, the present age of Cathy be y years.
So,
⟹ 3x = y - 6 -- equation (1)
Also given that,
Amu's present age is equal to Cathy's age after 6 years.
⟹ 5x = y + 6
⟹ 5x - 6 = y
Substitute y = 5x - 6 in equation (1).
⟹ 3x = 5x - 6 - 6
⟹ 3x - 5x = - 6 - 6
⟹ - 2x = - 12
⟹ x = - 12/ - 2
⟹ x = 6
∴
- Amu's present age = 5x = 5(6) = 30 years
QUESTION-:
The respective ratio between the present ages of Amu and Dina is 5 : 3. Dina is 6 years younger than Cathy. If at present Amu's age is equal to Cathy's age 6 years hence, what is Amu's present age?
EXPLANATION-:
Let the present age of amu=5x
and that Dina=3x
Since Dina us 6 year younger than cathy ,so -:
Dina=3x+6
Now
A.T.Q
Amu's present age=(cathy's present age)+6
5x=3x+12
5x-3x=12
2x=12
x=12/2
x=6
So the value of x is 6
Therefore-:
Amu present age=5(6)
Amu present age=30 years
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