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Arte-miy333 [17]
3 years ago
11

The sum of two numbers is 12. The difference of the two numbers is 22. Find the two numbers

Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0

Answer:

-5 and 17

Step-by-step explanation:

The sum of two numbers (let's just say number a and number b) is 12.

a + b = 12

The difference between the same two numbers (still a and b) is 22.

b - a = 22

(Move variable a to the right side to get the following.)

b = 22 + a

(This way, we can substitute b = 22 + a into the first equation, a + b = 12, and solve.)

a + (22 + a) = 12

a + a + 22 = 12

2a = -10

a = -5

a + b = 12

-5 + b = 12

b = 17

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borishaifa [10]
<h3>There are 76 nickels in jar</h3>

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "n" be the number of quarters

1 dime = $ 0.10

1 nickel = $ 0.05

There are 140 coins in the jar

Therefore,

d + n = 140

n = 140 - d ------- eqn 1

Lee has $10.20 in a jar that contains only nickels  and dimes

Therefore,

d \times 0.10 + n \times 0.05 = 10.20

0.1d + 0.05n = 10.20 -------- eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

0.1d + 0.05( 140 - d) = 10.20

0.1d + 7 - 0.05d = 10.20

0.05d = 3.2

Divide both sides by 0.05

d = 64

<em><u>Substitute d = 64 in eqn 1</u></em>

n = 140 - 64

n = 76

Thus there are 76 nickels in jar

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