1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goldfiish [28.3K]
3 years ago
10

The age of father is a two digit number. If 5 is added to the double of the digit in the tenth place of father's age will be the

age of son. If the sum of their ages is 65 and 1 is subtracted from the number obtained by reversing the digit of son age,will be the age of father. Find the present age of father and son?​
Mathematics
1 answer:
yuradex [85]3 years ago
7 0

Answer:

The father is 50 and his son is 15.

Step-by-step explanation:

Double the tens digit of the father's age = 10

Plus 5 = 15 (the age of the son)

50 + 15 = 65 (the sum of their ages)

The reverse of the digits of the son's age is 51.

Subtract 1 = 50 (the age of the father)

You might be interested in
Write the equation in slope-intercept form. Then find the slope and y-intercept of the line.
MAXImum [283]

Answer:

y = -3x + 6

Step-by-step explanation:

To make this in slope intercept form, you need to use one step called inverse operation, all that is, is subtracting the 3x from both sides, which will eliminate the 3x on the left and add a negative 3x on the right

8 0
3 years ago
The total cost of painting of four walls of a square hall at Rs. 40 per sq. m. is Rs. 12000. If the hall contains 600 m³ of air,
astra-53 [7]

Answer:

The height of the hall is 9.375 meters

Step-by-step explanation:

The rate at which the walls of the square hall are painted, R = Rs. 40 per sq. m.

The total cost of painting the square hall, C = Rs. 12,000

The volume of air contained in the hall, V = 600 m³

The surface area of the four walls of the hall, A = C/A

∴ A = Rs. 12,000/(Rs. 40/m²) = 300 m²

Let 's' represent the length of sides of the square hall, and let 'h' represent the height of the square wall, we have;

The volume of the hall, V = s² × h

The surface area of the wall, A = 4 × s × h

Therefore, we get;

A = 300 = 4 × s × h

V = 600 = s² × h

V/A = 600/300 = 2 = s² × h/(4 × s × h) = s/4

s/4 = 2

s = 4 × 2 = 8

The side length of the square hall, s = 8 m.

From the area, A = 4 × s × h, we get;

A = 300 = 4 × 8 × h

h = 300/(4 × 8) = 9.375

The height of the hall, h = 9.375 m.

8 0
3 years ago
An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa
Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = 7^{\circ}

\angle CAB = \angle DCA = 7^{\circ}       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

\tan (\theta) = \frac{Opposite side}{Adjacent Base}

\tan (\angle CAB) = \frac{BC}{AB}

Here, BC = 50 foot and \angle CAB =7^{\circ}

then;

\tan (7^{\circ}) = \frac{50}{x}

or

x = \frac{50}{\tan 7^{\circ}}

x = \frac{50}{0.1227845609}

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'





5 0
2 years ago
I need help with this math
Tems11 [23]

15/15 or 1 is your answer.


8 0
2 years ago
Read 2 more answers
I feed to find the circumference
fgiga [73]

answer:

131.88 inches

step-by-step explanation:

  • know the formula: 2πr
  • now plug in what we have

2πr = circumference

2(21)(3.14)

= 131.88

6 0
2 years ago
Other questions:
  • Which best describes the diameter of a circle?
    10·2 answers
  • What is 0.32 as faction
    12·1 answer
  • Find one terminating and one repeating decimal between -1/2 and -1/3
    11·1 answer
  • The back-to-back stem-and-leaf plot below show exam scores from two different math classes. Which class has a greater mean score
    9·2 answers
  • Is 16 a prime or composite number
    14·2 answers
  • A buoy floating in the ocean is bobbing in simple harmonic motion with period 5 seconds and amplitude 4ft. Its displacement d fr
    11·1 answer
  • 4y-9=15 what does y equal
    9·1 answer
  • Find the value of x.
    7·2 answers
  • Which table has a constant of proportionality between y and x of 3/4?
    11·2 answers
  • Milan tutors history. For each hour that he tutors, he earns 50 dollars. His earnings, (in dollars), after tutoring for hours is
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!