Find 3 consecutive integers such that the sum of the first and twice the second is 16 more than twice the third

Mathematics

1 answer:

lions [1.4K]3 years ago

5 0

Answer: 18, 19, 20

Step-by-step explanation:

3 consecutive integers = x, y and z

1st number is X

2nd number is Y which is X +1

3rd number is Z which is X +2

Write equation

X + 2Y = 16 + 2Z

Replace Y with X + 1 and Z with X + 2

So,

X + 2(X + 1) = 16 + 2(X + 2)

Distribute

X + 2X + 2 = 16 + 2X + 4

Combine like terms

3X + 2 = 2X + 20

Solve for X

3X + 2 - 2 - 2X = 20 + 2X - 2X - 2

X = 18 so, Y is 19 and Z is 20

You might be interested in

What is 190×76=? Please help!

mart [117]

190*76 is equal to 14440.

6 0

3 years ago

Read 2 more answers

Find the x will name brainlist

Alenkasestr [34]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Find x.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².

Here,

Altitude = 1.6 cm.
Base = 1.2 cm
Hypotenuse = x

Now, let's solve for x.

Hypotenuse² = Base² + Altitude²

x² = (1.2)² + (1.6)²

x² = 1.44 + 2.56

x² = 4

x = √4

x = 2.

So, the value of x is 2 cm.

Pythagoras theorem can be used only in the cases of right-angled triangles. Here, it's given that the triangle is right angled so we can use this theorem.
To solve the squares if decimals, take them as whole numbers & then just add the decimal points. For example, ⇨ for (1.2)², take it as 12² , then multiply 12 by 12, you'll get 144. Now, add the decimal place accordingly ⇨ 1.44 . So, (1.2)² = 1.44.

8 0

3 years ago

George had one sheet of paper. He cut it into 6" x 5", and 3" x 6". What were the dimensions and total area of his original shee

Deffense [45]

Answer: $l={8}'' ,b={6}''$ , $l={6}'' ,b={8}''$