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icang [17]
3 years ago
11

In a two-digit number, the units digit is two more than the tens

Mathematics
1 answer:
Margaret [11]3 years ago
3 0

Answer:

35

Step-by-step explanation:

In a two-digit number, the units digit is two more than the tens

digit.

(10x) + (x + 2)

If you add the digits together and multiply the result by 6,

you will get five less than the number with the digits reversed.

(x + (x + 2))(6) = 10(x + 2) + x - 5

(2x + 2)(6) = (10x + 20)+ x - 5

12x + 12 = 11x + 15

x = 3

Original number

(10x) + (x + 2)

(10 * 3) + (3 + 2)

30 + 5

35

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Simplify 5(y + 6) + 15y​
KATRIN_1 [288]

Answer:

<h3><u><em>20y + 30</em></u></h3>

Step-by-step explanation:

7 0
3 years ago
Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
  • y = 8

So the age is 48.

6 0
1 year ago
Fiona is going to jog once around the block she lives on. The block is rectangular, and it is 180 yards long and 200 feet wide.
abruzzese [7]
(180 * 2) * 3 + 200 * 2
360 * 3 + 400
1080 + 400 = 1480 feet
3 0
3 years ago
Question 2 of 7
slamgirl [31]
2 times 8 x 12

192

2 times 5 x 8

80

2 times 12 x 5

60

192+80+60=332 ft^2
8 0
3 years ago
Read 2 more answers
If the length of the base of a triangle is
Anarel [89]

Answer:

d

Step-by-step explanation:

the answer is 12% decrease in area

5 0
3 years ago
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