Answer:
Step-by-step explanation:
Hi there!
Let the smaller number be x and the larger number be 2x+1.
According to the question,
The sum of the numbers is 20 less than three
times the larger.
i.e x + (2x+1)= 3*(2x+1) - 20
or, x + 2x +1 = 6x + 3 -20
or, 3x + 1 = 6x - 17
or, 3x = 18
or x= 18/3
x = 6
And 2x+1 = 2*6+1 = 13.
Therefore the smaller number is 6 and larger number is 13.
Hope it helps!
Answer:
JK=7
Step-by-step explanation:
From the line segment, since J is on it ,it means the line segment is
represented as I J K
from this illustration, we can say that the longest part of the line segment is from I to K
this means that, IJ +JK =IK
making JK the subject,
JK= IK - IJ
but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5
substituting them in the expression,
2x-1 =3x+2 -(3x-5)
solving for x
2x-1 =3x+2-3x+5
2x-1 =0+7
2x-1 =7
2x=1+7
2x=8
dividing through by 2
2x/2 =8/2
x=4
but the question says we should find the numerical value for JK
but from the line segment,
JK=2x-1
but now we know the value of x to be 2
so substituting it in the formula
JK= 2(4)-1
JK=8-1
JK=7
therefore, the numerical value for JK is 7
I think the answer is C 1 2/3
