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4 years ago

Two numbers are in a ratio 2:3 and their sum is 35.find the numbers

Mathematics

2 answers:

worty [1.4K]4 years ago

7 0

Answer:

$\boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}$

Step-by-step explanation:

Let the numbers be 2x and 3x

Let's create an equation

$\sf{2x + 3x = 35}$

Solve for x.

Collect like terms

$\dashrightarrow{ \sf{5x = 35}}$

Divide both side by 5

$\dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}$

Calculate

$\dashrightarrow{ \sf{x = 7}}$

The value of x is 7.

Now, replacing the value of x in order to find the two numbers :

$\dashrightarrow{ \sf{2x = 2 \times 7 = 14}}$

$\dashrightarrow{ \sf{3x = 3 \times 7 = 21}}$

The numbers are : 14 and 21

Hope I helped!

Best regards! :D

Marysya12 [62]4 years ago

6 0

Answer:

14 and 21 is the answer

Step-by-step explanation:

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K=1; f(x)=4x^3-2x^2+2x+4; Lower bound?

photoshop1234 [79]

Given:
$f(x) = 4x^{3} - 2x^{2} + 2x + 4$
and,
K = 1

We would require to do the synthetic division of the above problem in order to know whether K=1 is a lower bound or not. Let's do it!

Steps of Synthetic Division:

1. Write the coefficients of the equation, and before that write 1. Like,

1 ║ 4   -2   2   4

As you can see, the coefficients of the equation are seperated by ║.

2. Drop down the first value after ║as it is. Like:
1 ║ 4   -2   2   4
:
----------------------
4

3. Multiply 4 with 1 and then place the resultant value under -2 and then add that resultant value with -2. Like
1 ║ 4   -2   2   4
: 4
----------------------
4 2

4. Repeat Step 3 until you're done.

1 ║ 4   -2   2   4
:   4   2
----------------------
4 2 4

1 ║ 4   -2   2   4
:   4   2 4
----------------------
4 2 4 8

Now every value, +4, +2, +4, +8, under the bar(---------) is positive; therefore, it means that K=1 is the upper bound, NOT lower bound.

Ans: K=1 is NOT a lower bound.
-i

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3 years ago

Two numbers are in a ratio 2:3 and their sum is 35.find the numbers​

Two numbers are in a ratio 2:3 and their sum is 35.find the numbers