Step-by-step explanation:
3x + 3 = 27
3x = 24
Therefore x = 8.
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Answer:14
Step-by-step explanation:Start by writing like this below
98 =2×7×7
42 =2×3×7
H.C.F=2×7
=14
Take the number which is common like in 98 and 42, (2) and (7) are common
and then multiply the two numbers.
Hope it helps you!
Answer:
16.25=1.75x
Step-by-step explanation:
so write it like this to that the bigger number(16.25) is on the left then write the other number(1.75)then put the X by the 1.75
Answer:
4,684 km
Step-by-step explanation: