SOLUTION: The Diffrence Of Two Numbers is 26. The Largest Number Is Eight More than twice The Smaller. Findd the Numbers.

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Question 558771: The Diffrence Of Two Numbers is 26. The Largest Number Is Eight More than twice The Smaller. Findd the Numbers.
Answer by Maths68(1474) About Me  (Show Source):
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Let
Larger Number = x
Smaller Number = y

Given
=====
The Difference Of Two Numbers is 26
x+y=26...........(1)
The Larger Number Is Eight More than twice The Smaller
x=2y+8.......(2)
Put the value of x from (2) to (1)
x+y=26
2y+8+y=26
3y+8=26
3y=26-8
3y=18
3y/3=18/3
y=6
Put the value of y in (2)
x=2y+8
x=2(6)+8
x=12+8
x=20

Larger Number = x = 20
Smaller Number = y = 6