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Anit [1.1K]
3 years ago
7

The sum of two numbers is 172. Their difference is 10. What are the numbers?

Mathematics
2 answers:
kykrilka [37]3 years ago
5 0

Answer:

The numbers are 91 and 81

Step-by-step explanation:

Let:

x be the first number.

y be the second number.

The sum of two numbers is 172.

x + y = 172

Their difference is 10.

x - y = 10

Try to arrange for solving x:

x - y = 10

x = 10 + y

Now substitute the x to the first equation.

x + y = 172

(10 + y) + y = 172

10 + y + y = 172

10 + 2y = 172

2y = 172 - 10

2y = 162

y = 162 ÷ 2

y = 81

Now solve for x:

x + y = 172

x + (81) = 172

x = 172 - 81

x = 91

Now let's check one more time:

The sum of two numbers is 172:

91 + 81 = 172

172 = 172 (correct)

Their difference is 10:

91 - 81 = 10

10 = 10 (correct)

mrs_skeptik [129]3 years ago
5 0

Answer:

Step-by-step explanation:

let x , y two numbers :  x+y =172.....(1)

                                     x - y = 10...(2)

add (1) and (2) :2x= 182

so : x = 182/2= 91

put x = 91 in (1) : 91+y =172

y = 172  - 91 = 81

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2 years ago
One pencil weigh fifteen grams. What is the weight of eight pencils?
artcher [175]

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120 grams

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The show has a large display board where visitors are encouraged to pin up their own instant camera pictures, taken during the e
mote1985 [20]

Answer:

<h2>1,800 pictures</h2>

Step-by-step explanation:

Find the diagram attached below with its dimension.

The board is rectangular in nature with dimension of 3.6 m by 1.8 m wall.

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Area of the board = 3.6 m * 1.8 m

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Area of the board = 64,800cm²

If the dimension of a picture on the wall is 6cm * 6cm, the area of one picture fir on the wall = 6cm* 6cm = 36cm²

In order to know the amount of 6cm* 6cm pictures that will fit on the wall, we will divide the area of the board by the area of one picture as shown;

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6 0
2 years ago
A ladder AB, which is set up with B on the horizontal ground and A against a vertical wall, makes an angle of 71 degrees with th
MrMuchimi

Answer:

5151.48 cms

Step-by-step explanation:

We have to:

1.68 m is 1680 cm.

Now the rope forms another right triangle. PQB, we can find the value of QB as follows:

tan (71 °) = PQ / QB

Solving:

QB = PQ / tan (71 °)

Replacing we have:

QB = 1680 / 2.9

QB = 579.31

Knowing this value we can find QA using similar triangles PQB and AQP, like this:

QA / PQ = PQ / QB

Solved:

QA = PQ ^ 2 / QB

Replacing:

QA = 1680 ^ 2 / 579.31

QA = 4872

Finally, knowing QA, we can calculate the one we want to know AP:

Sin (71 °) = AP / AB

But AB = QA + QB = 4872 + 579.31, therefore AB = 5451.31

Solved:

AP = Sin (71 °) * AB

Replacing:

AP = 0.945 * 5451.31

AP = 5151.48 cms

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3 years ago
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