If 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at present is 52, what is the ratio of their present ages ?

15 : 6
26 : 7
37 : 8
44 : 5

Answer:- 1

Explanation:-

Solution:

Let age of P = 5x
and age of Q = 6x
According to the question,
(5x + 4) + (6x + 4) = 52
11x = 44
x = 4
Present age of P = 5x + 4 = 5 × 4 + 4 = 25
Present age of Q = 6x + 4 = 6 × 4 + 4 = 28

\begin{aligned} ∴ Required ratio \\ = \frac{24}{28} \\ = \frac{6}{7} \\ = 6 : 7 \end{aligned}

$\eqalign{ & \therefore {\text{Required ratio}} \cr & {\text{ = }}\frac{{24}}{{28}} \cr & = \frac{6}{7} \cr & = 6:7 \cr}$

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

Solution:

Let age of P = 5x
and age of Q = 6x
According to the question,
(5x + 4) + (6x + 4) = 52
11x = 44
x = 4
Present age of P = 5x + 4 = 5 × 4 + 4 = 25
Present age of Q = 6x + 4 = 6 × 4 + 4 = 28

\begin{aligned} ∴ Required ratio \\ = \frac{24}{28} \\ = \frac{6}{7} \\ = 6 : 7 \end{aligned}

$\eqalign{ & \therefore {\text{Required ratio}} \cr & {\text{ = }}\frac{{24}}{{28}} \cr & = \frac{6}{7} \cr & = 6:7 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }