The ratio of two natural numbers P and Q is 2 : 3. If 12 is added to both of them, their ratio becomes 11 : 16. What will be the product of P and Q?

The ratio of two natural numbers P and Q is 2 : 3. If 12 is added to both of them, their ratio becomes 11 : 16. What will be the product of P and Q?
1). 26200
2). 32400
3). 14400
4). 21600

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Guest · Answer 1 · 2019-06-30 17:49:36

The ratio of two natural numbers P and Q is 2 : 3. Let the numbers be 2T and 3T.

If 12 is added to both of them, their ratio becomes 11 : 16.

⇒ (2T + 12)/(3T + 12) = 11/16

⇒ 32T + 192 = 33T + 132

⇒ T = 60

⇒ P = 2T = 120 and Q = 3T = 180

∴ P × Q = 120 × 180 = 21600

Guest · Answer 2 · 2019-06-30 17:49:36

The ratio of two natural numbers P and Q is 2 : 3. Let the numbers be 2T and 3T.

If 12 is added to both of them, their ratio becomes 11 : 16.

⇒ (2T + 12)/(3T + 12) = 11/16

⇒ 32T + 192 = 33T + 132

⇒ T = 60

⇒ P = 2T = 120 and Q = 3T = 180

∴ P × Q = 120 × 180 = 21600

The ratio of two natural numbers P and Q is 2 : 3. If 12 is added to both of them, their ratio becomes 11 : 16. What will be the product of P and Q?

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