Answer:
the numbers are 7 and 11
Step-by-step explanation:
If you add the smaller to the sum of numbers, you have the sum of the greater and twice the smaller. That is ...
18 + smaller = 25
smaller = 25 -18 = 7
larger = 18 -7 = 11
The two numbers are 7 and 11.
_____
If you like, you can write two equations. Let x and y represent the smaller and larger numbers, respectively.
x + y = 18
2x + y = 25
Subtract the first equation from the second:
(2x +y) -(x +y) = (25) -(18)
x = 7
y = 18-x = 18-7 = 11
The numbers are 7 and 11.
Answer:
They will sound together at 2pm
Step-by-step explanation:
Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.
To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40
The lowest common multiple between both is 120
This means that the two gongs will sound together at exactly 120 minutes
Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours
Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm
Answer: 150 min
Step-by-step explanation:
2 hours = 120 min, 120 + 30 min = 150 min
Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: 
Putting values and making equation:

So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches