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Question
The ratio between the present ages of P and Q is 5 : 7 respectively. If the difference between Q's present age and P's age after 6 years is 2, what is the total of P's and Q's present ages?
48 years
52 years
56 years
None of these
ANSWER : 1
Descrption
<p style="margin-left:0px;">Let's denote the present ages of P and Q as follows:</p><p style="margin-left:0px;">Present age of P = 5x years Present age of Q = 7x years</p><p style="margin-left:0px;">According to the information given, the difference between Q's present age and P's age after 6 years is 2 years:</p><p style="margin-left:0px;">7x - (5x + 6) = 2</p><p style="margin-left:0px;">Now, let's solve for x:</p><p style="margin-left:0px;">7x - 5x - 6 = 2</p><p style="margin-left:0px;">2x - 6 = 2</p><p style="margin-left:0px;">2x = 2 + 6</p><p style="margin-left:0px;">2x = 8</p><p style="margin-left:0px;">x = 8 / 2</p><p style="margin-left:0px;">x = 4</p><p style="margin-left:0px;">Now that we've found the value of x, we can find the present ages of P and Q:</p><p style="margin-left:0px;">Present age of P = 5x = 5 * 4 = 20 years Present age of Q = 7x = 7 * 4 = 28 years</p><p style="margin-left:0px;">To find the total of P's and Q's present ages:</p><p style="margin-left:0px;">Total = Present age of P + Present age of Q Total = 20 years + 28 years Total = 48 years</p><p style="margin-left:0px;">So, the total of P's and Q's present ages is 48 years.</p><p style="margin-left:0px;">The correct answer is 48 years.</p>
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