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Law Incorporation [45]
2 years ago
7

The sum of 3 consecutive

Mathematics
2 answers:
Troyanec [42]2 years ago
7 0
The three numbers are 52, 53, 54.

52+53=105 105+54=159
Dennis_Churaev [7]2 years ago
6 0

Answer:

52, 53, 54

Step-by-step explanation:

To find the 3 numbers, we first use the equation x + x + 1 + x + 2 = 159.

Step 1: Combine like terms.

  • (x+x+x)+(1+2)=159
  • 3x + 3 = 159

Step 2: Subtract 3 from both sides.

  • 3x + 3 - 3 = 159 - 3
  • 3x = 156

Step 3: Divide both sides by 3.

  • 3x/3 = 156/3
  • x = 52

Step 4: Plug in 52 back into the equation.

  • (52) + (52+1) + (52+2) = 159
  • 52+53+54=159
  • 105 + 54 = 159
  • 159

Therefore, the numbers are 52, 53, and 54.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren ⚘

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= 15*25*20 - 10^3

= 7500 - 1000

= 6500 cm^3.

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The school cafeteria has an order for 238 hot lunches. What is 238 to the nearest ten?
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3 years ago
when a pen is sold at a discount of 15%, there is a gain of Rs 10. but if it is sold at 25% discount, there is a loss of Rs 2. f
LenaWriter [7]

Answer:

Rs 120.  

Step-by-step explanation:

10=0.85SP-CP; CP+10=0.85SP; SP=[CP+10]/0.85 Eq 1. Let SP= Selling Price and CP= Cost Price

-2 =0.75SP-CP; 0.75SP=C-2; SP=[CP-2]/0.75 Eq 2

[CP+10]/0.85=[CP-2]/0.75 : SP of Eq 1=SP of Eq 2

0.75[CP+10]=0.85[CP-2]

0.75CP+7.5=0.85CP-1.7

0.85CP-0.75CP=-1.7–7.5=9.2

0.10CP=9.2; CP=9.2/0.10

CP=Rs 92 Cost Price of pen

10=0.85SP-92; 0.85SP=92+10=102; SP=102/0.85=Rs 120 Marked Price of pen (answer)

From Eq2: -2=0.75SP-CP; 0.75SP=CP-2=92–2=90; SP=90/0.75=Rs120; -2=0.75(120)-CP; CP-2=0.75(120); CP-2=90; CP=90+2=Rs 92

Set CP of Eq 1=CP of Eq 2:

CP=0.85SP-10 from Eq 1; CP=0.75SP+2 from Eq 2;

0.85SP-10=0.75SP+2; 0.85SP-0.75SP=10+2=12

0.10SP=12; SP=12/0.10=Rs120 is the Marked Price(answer)

Normally, the Selling Price is the marked price. The seller will not disclose the Cost Price because it is the price when the item was acquired or procured, otherwise the buyer will ask for more discounts and based his buying price from the Cost Price if it is known. The calculated SP and CP satisfy both Eq 1 and Eq 2. Both Eq 1 and Eq 2 satisfy the given conditions of the problem above.

8 0
3 years ago
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