Answer:
x= -2/5 and y=13/5
Step-by-step explanation:
Lets assume that the larger number = x
And the smaller number = y
According to the given statement three times a number added twice a smaller number is 4, it means;
3x+2y=4 -------- equation 1
Now further twice the smaller number less than twice the larger number is 6,it means;
2y-2x=6 --------equation 2
Solve the equation 2.
2y=2x+6
y=2x+6/2
y=2(x+3)/2
y=x+3
Substitute the value of y=x+3 in the first equation.
3x+2y=4
3x+2(x+3)=4
3x+2x+6=4
Combine the like terms:
5x=4-6
5x=-2
x= -2/5
Put the value x= -2/5 in equation 2.
2y-2x=6
2y-2(-2/5)=6
2y+4/5=6
By taking L.C.M we get
10y+4/5=6
10y+4=6*5
10y+4=30
10y=30-4
10y=26
y=26/10
y=13/5
Hence x= -2/5 and y=13/5....
