Lt us assume the present age of father is P and son age is Q.
According to question,
P + Q = 45.................. (1)
Five years ago, the father age = P - 5
Five years ago, the son age = Q - 5
According to question,
Five years ago, the product of their ages was four times the father's age at that time.
(P - 5) (Q - 5) = 4 (P - 5)
PQ - 5P - 5Q + 25 = 4P - 20
PQ - 5P - 5Q + 25 - 4P + 20 = 0
? PQ - 9P - 5Q + 45 = 0
? P(Q - 9) - 5(Q - 9) = 0
? (Q - 9) (P - 5) = 0
? (Q - 9) = 0 or (P - 5) = 0
? Q = 9 or P = 5
Put the vale of Q in equation (1), we will get.
if Q = 9 then P = 45 - 9 = 36 which is matched our answer.
If P = 5 then Q = 45 - 5 = 40 years which is not match our answer.
Method 2
Let the present ages of father and his son be x and (45 - x) years respectively;
then according to question,
(x - 5) (45 - x - 5) = 4 (45 - x -5)
? x - 5 = 4
? x = 9
Now, Father's age = 45 - x = 45 - 9 = 36 years
The given series is in the below pattern , we can see that
cabbac / cabbac / cabbac.
Hence , required answer will be acbcb .
All others are national holidays.
A nebulous from means having an ambiguous from same as an insipid taste which is dull, boring, almost no taste.
As paper is product of tree. Similarly glass is product of sand.
if both I and II are implicit.
'Tall' is opposite to 'Dwarf' and 'Cruel' is opposite to kind.
Former cannot be expected from the latter.
H < T ...(i) T ? B ...(ii) B > R ...(iii)
From (i) and (ii) we get H < T ? B or B > H.
Hence III does not follow.
Fill the blank space with correct alphabets as NOPQ word is repeating.
N O P Q , N O P Q, N O P Q, N O P Q ? NOPQ
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