The two numbers are 6 and 10
<em><u>Solution:</u></em>
Let "x" be the smaller number
Let "y" be the larger number
Given that difference between two numbers is 4
larger number - smaller number = 4
y - x = 4 ----- eqn 1
Also given that three times the smaller number is equal to two times the larger less two
three times smaller number = 2 times larger number less two
3x = 2y - 2 ---- eqn 2
From eqn 1,
y = 4 + x --- eqn 3
Substitute eqn 3 in eqn 2
3x = 2(4 + x) - 2
3x = 8 + 2x - 2
x = 6
From eqn 3,
y = 4 + 6 = 10
Thus the two numbers are 6 and 10
4 is the length and the perimeter is 22<span />
C -3/2
Just multiply the second equation by -3/2
this will make the y term = -3/4y
so adding will eliminate the y terms.
-3/x is the answer I believe
I hope this helped:)
Answer: Children = 108
Adult = 52
Step-by-step explanation:
Let x = number of children
Let y = number of adult
Based on the information given, we can form an equation which will be:
x + y = 160 ........ i
2x + 5y = 476 ........ ii
Multiply equation i by 2
Multiply equation ii by 1
2x + 2y = 320 ....... iii
2x + 5y = 476 ........ iv
Subtract iii from iv
3y = 156
y = 52
Number of adults = 52
Since x + y = 160
x + 52 =160
x = 160 - 52
x = 108
Number of children = 108