Question

The ratio of the present ages of a and b is 5 : 6. Five years ago, the ratio was 4 : 5. Find their present ages.

Answer 1

Answer:

Step-by-step explanation:

\underline{\mathfrak{Solution :}}

Let the present age of A be \textbf{5x} years

So, the present age of B be \textbf{6x} years

According to Question,

(5x - 3) / (6x - 3) = 4/5

=> 5(5x - 3) = 4(6x - 3)

=> 25x - 15 = 24x - 12

=> 25x - 24x = - 12 + 15

=> x = 3

Hence,

The present age of A = 5x years

= 5 × 3 years

= \textbf{15 years}

The present age of B = 6x years

= 6 × 3 years

= \textbf{18 years}

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Answer 2

Answer:

x=3

present age of a=5×3=15

". ". ". b=6×3=18