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Present ages of A and B are in the ratio 5 : 6 respectively. After seven years this ratio becomes 6 : 7. Then the present age of A in years is = ?

135 years
233 years
332 years
430 years

Answer:- 1

Explanation:-

Solution:

Let the age of A & B = 5x and 6x years
According to question,

\begin{aligned} \frac{5 x + 7}{6 x + 7} = \frac{6}{7} \\ 35 x + 49 = 36 x + 42 \\ x = 7 \\ A's Present age = 5 x \\ = 5 \times 7 = 35 years \end{aligned}

$\eqalign{ & \frac{{5x + 7}}{{6x + 7}} = \frac{6}{7} \cr & 35x + 49 = 36x + 42 \cr & x = 7 \cr & {\text{A's Present age}} = 5x \cr & = 5 \times 7 = {\text{35 years}} \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let the age of A & B = 5x and 6x years
According to question,

\begin{aligned} \frac{5 x + 7}{6 x + 7} = \frac{6}{7} \\ 35 x + 49 = 36 x + 42 \\ x = 7 \\ A's Present age = 5 x \\ = 5 \times 7 = 35 years \end{aligned}

$\eqalign{ & \frac{{5x + 7}}{{6x + 7}} = \frac{6}{7} \cr & 35x + 49 = 36x + 42 \cr & x = 7 \cr & {\text{A's Present age}} = 5x \cr & = 5 \times 7 = {\text{35 years}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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