The ratio of their age is 3:7.
Step-by-step explanation:
Given,
10 years ago, the ratio of two brothers was 1:4
After 14 years the ratio will be 4:7
To find the ratio of their present age.
Let,
10 years age their age was x and 4x
So, now their age is (x+10) and (4x+10)
14 years from now their age will be (x+10+14) and (4x+10+14)
That is x+24 and 4x+24
According to the problem,
x+24 : 4x+24 = 4:7
or, 
or, 7(x+24) = 4(4x+24)
or, 7x+168 = 16x+ 96
or, 16x-7x = 168-96
or, 9x = 72
or, x = 8
Hence,
Their present age is (8+10) and (4×8+10) = 18 and 42
Hence,
The ratio of their age is 18:42 = 3:7
Answer:
12 5 dollar bills
20 50 dollar bills
Step-by-step explanation:
Let x = number of five dollar bills
Let y = number of fifty dollar bills
We have a total of 32 bills
x+y = 32
The total amount is 1060
5x+50y = 1060
We have 2 equations and 2 unknowns
x+y = 32
5x+50y = 1060
Multiply the first equation by -5 so we can eliminate x
-5x -5y = -5*32
-5x -5y =-160
Add this to the second equation
5x+50y = 1060
-5x -5y =-160
------------------------
45 y = 900
Divide each side by 45
45y/45 = 900/45
y = 20
There are 20 50 dollar bills
x+y = 32
x+20 = 32
Subtract 20 from each side
x+20-20 = 32-20
x = 12
There are 12 5 dollar bills
Answer:a, 2^3, e, 2^6 h, 2^4
Step-by-step explanation:
2x2x2=8 and 2+2+2+2=8
As we project the following problem, we can see that the runner is forming a triangle when we try to connect the final stop and the initial stop of the runners. In this case, the resultant is 10 kilometers and the x-axis component is 8 km, that is the y-component should be square root of 100-64 equal to B. 6 km