Two numbers P & Q in the ratio 5 : 3. If 2 is subtracted from each number then this ratio becomes 7 : 4. If 10 is subtracted from each of the original numbers, then the ratio of P & Q will be?
Answer & explanation
Correct answer: option 2
P = 5R
Q = 3R
ATQ,
⇒ \(\frac{5R-2}{3R-2}\) = \(\frac{7}{4}\)
⇒ 20R - 8 = 21R - 14
⇒ R = 6
So,
P = 5 x 6 = 30
Q = 3 x 6 = 18
After subtracting 10 from each no.
P = 30 - 10 = 20
Q = 18 - 10 = 8
P : Q = 20 : 8 = 5 : 2