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2 years ago

Uncle Jason is twice as old as his nephew Ralph, and 10 years ago he was three times as old as Ralph. Find their present ages.

Mathematics

1 answer:

cluponka [151]2 years ago

7 0

Answer:

40 and 20

Step-by-step explanation:

Uncle Jason's age = x
Nephew Ralph age = y

<h3>Solution</h3>

x= 2y

<u>Age 10 years ago: </u>

x- 10 = 3(y-10)

<u>Substituting x in the second equation:</u>

2y - 10 = 3y - 30
3y - 2y = 30 -10
y = 20

<u>Then, finding x:</u>

x= 2y
x= 2*20
x= 40

<u>Answer:</u> Uncle Jason is 40 and nephew Ralph is 20 years old

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Answer:

The claim that the scores of UT students are less than the US average is wrong

Step-by-step explanation:

Given : Sample size = 64

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Solution:

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So we will use z test

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Refer the z table for p value

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a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement Kathryn purchase is equals to 8.

c. Number of half page advertisement Kathryn purchase is equals to 12.

<h3>What is system of equation?</h3>

" System of equation is defined as the finite set of equations for which we find a common solution."

According to the question,

Cost of half page advertisement = $42

Cost of full page advertisement = $86

Number of advertisement Kathryn could purchase = 20

Total budget of Kathryn to purchase advertisement = $1192

'x' represents half page advertisement

'y' represents full page advertisement

As per the situation given system of equation we have,

42x + 86y = 1192 ______(1)

x + y = 20

x = 20 - y _____(2)

Substitute the value of 'x' from system of equation (2) in (1) we get,

$42( 20 -y) +86y =1192\\\\\implies 840 - 42y +86y =1192\\\\\implies 44y = 1192-840\\\\\implies y = \frac{352}{44}\\ \\\implies y =8$

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Hence,

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement Kathryn purchase is equals to 8.

c. Number of half page advertisement Kathryn purchase is equals to 12.

Learn more about system of equation here

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bija089 [108]

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Step-by-step explanation:

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