All categories

2 years ago

One number is 4 less than a second number. Twice the second number is 13 less than 5 times the first. Find the two numbers.

Mathematics

1 answer:

Roman55 [17]2 years ago

3 0

Answer:

7 , 11

Step-by-step explanation:

Let the second number be 'x'

the first number = x - 4

Twice the second number : 2*x = 2x

5times first = 5*(x -4) = 5*x - 5*4 = 5x - 20

13 less than 5 times the first = 5x - 20 - 13 = 5x - 33

5x - 33 = 2x

Add 33 to both sides

5x - 33 + 33 = 2x +33

5x = 2x + 33

Subtract '2x'from both sides

5x - 2x = 2x - 2x + 33

3x = 33

Divide both sides by 3

$\frac{3x}{3}=\frac{33}{3}$

x = 11

First number = x - 4 = 11 - 4 = 7

The numbers are 7 , 11

You might be interested in

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.

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

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

So the age is 48.

6 0

1 year ago

Which equation can be used to find the side lengths if the longest side measures 6.2cm?

iren [92.7K]

The answer is 18.6+b=14.5

8 0

3 years ago

The height in feet of a ball dropped from a 150 ft building is given by h(t)=-16 ft^2 +150, where t is the time in seconds after

ipn [44]

Answer:

Part 1) Option A. h(2) = 86.00 means that after 2 seconds, the height of the ball is 86.00 ft

Step-by-step explanation:

we have

$h(t)=-16t^{2}+150$

where

t ----> is the time in seconds after the ball is dropped

h(t) ----> he height in feet of a ball dropped from a 150 ft

Find h(2)

That means ----> Is the height of the ball 2 seconds after the ball is dropped

Substitute the value of t=2 sec in the equation

$h(2)=-16(2)^{2}+150=86\ ft$

therefore

After 2 seconds, the height of the ball is 86.00 ft.

7 0

3 years ago

Does the numerator impact whether a fraction will have a finite or infinite decimal?

Misha Larkins [42]

Answer:DECIDING IF A FRACTION IS A FINITE OR INFINITE REPEATING DECIMAL ... Need a short break? RATIONAL and IRRATIONAL NUMBERS. The rational numbers are numbers that can be written in the form ab a b , ... start by putting the fraction in simplest form;; then, factor the denominator into primes.

Step-by-step explanation:

6 0

3 years ago

Is 24.48 a interger

Sergio039 [100]

This is not an integer; an integer is a whole number that can be positive, negative, or zero such as -1, 0, and 1.

7 0

2 years ago

Read 2 more answers