Step-by-step explanation:
Let the numbers are 4x and 7x. According to the question if each number is increased by 20, the ratio becomes 7 : 9.
Then,
( 4x + 20 ) : ( 7x + 20 ) = 7 : 9
9( 4x + 20 ) = 7( 7x + 20 )
9( 4x ) + 9( 20 ) = 7( 7x ) + 7( 20 )
9( 20 ) - 7( 20 ) = 7( 7x ) - 9( 4x )
2( 20 ) = 49x - 36x
40 = 13 x
40 / 13 = x
Therefore, number are :–
4 x = 4( 40 / 13 ) = 160 / 13
7 x = 7( 40 / 13 ) = 280 / 13
N=6*d
0.05*n + 0.10*d = 5.20
0.3d+0.1d =5.20
d = 5.20/0.4 = 13
13 dimes and 78 nickels
If p=4, plug in 4 to the equation.
1. q= 20 - 0.05 * 4^2
2. q= 20 - 0.05 * 16
3. q= 20 - 0.8
4. q= 19.2