SOLUTION: How do I do the work out for these problems. I'm really bad with setting up word problems. 1) The difference of two numbers is 10. Two times the larger number is 20 more than

Question 524586: How do I do the work out for these problems. I'm really bad with setting up word problems.

1) The difference of two numbers is 10. Two times the larger number is 20 more than the smaller. What are the two numbers.
2) What is the probability of drawing a card that is not a face card from a well shuffled deck of 52 cards?
3) Find two consecutive odd integers such as that three times the first plus two times the second is 39.
Thank you(:
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
1) The difference of two numbers is 10. Two times the larger number is 20 more than the smaller. What are the two numbers.
.
x - y = 10
so
x = y+10
.
2x = y+20
.
substitute for x
.
2(y+10) = y+20
2y + 10 = y +20
y = 10

2) What is the probability of drawing a card that is not a face card from a well shuffled deck of 52 cards?
.
If you consider the face cards to be jack, queen, and king, then there are 12 face cards.
Given a random pick, the chance of picking a face card is:
12/52 = 6/26 = 3/13

3) Find two consecutive odd integers such as that three times the first plus two times the second is 39.
,
Define the consecutive odd integers as:
x
x+2
.
3x + 2(x+2) = 39
.
3x + 2x + 4 = 39
.
5x = 35
.
x = 7
.
x+2 = 9

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