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oee [108]
3 years ago
9

Theresa is 14 years younger than her brother Jonathan. Together, their total age in years is 35. A) How many years old is Theres

a? B) How many years old is Jonathan?
Mathematics
1 answer:
ikadub [295]3 years ago
4 0

A) The age of Theresa is 10 years 6 months old

B) Jonathan age is 24 years and 6 months old

<u>Solution:</u>

Given, Theresa is 14 years younger than her brother Jonathan.  

Let the age of Theresa be "n" years

Then the age of Jonathan will be "n + 14" years

Together, their total age in years is 35

<em><u>A) Finding age of Theresa:</u></em>

Jonathan age + Theresa age = 35  

n + 14 + n = 35  

2n + 14 = 35  

2n = 35 - 14  

2n = 21  

n = 10.5

So, age of Theresa is 10 years 6 months  

<em><u>B) Finding age of Jonathan</u></em>

Now, we know that n = 10.5  

Then Jonathan age = n + 14 = 10.5 + 14 = 24.5 years

So, Jonathan is 24 years and 6 months old

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6 0
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Find the compound Interest for Rs.18,800 ,calculated for 2 years at 13% rate of Interest compounded annually
Vinvika [58]

For compound interest, the formula is given below:

Amount = P(1+\frac{r}{100} )^{n}

Here, P = 18,800

n = 2

r = 13/100

So, Amount = 18,800(1+\frac{13}{100} )^{2}

18,800(1.13)^{2}

= 18,800 × 1.2769

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4 0
3 years ago
The difference of two numbers is 16 the greater number is five less than four times a small number find the two numbers
Elis [28]

Answer:

The numbers are 23 and 7  

Step-by-step explanation:

1. Set up the equations

   Let x = the greater number

  and y = the smaller number. Then

(1) x - y = 16

       4y = 4 times the smaller number and

  4y - 5 = 5 less than 4 times the smaller number. Then

(2)     x = 4y - 5

You have a system of two equations:

\begin{cases}(1) & x - y = 16\\(2) & x = 4y - 5\end{cases}

2. Solve the equations

\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}

The larger number is 23; the smaller number is 7.

3. Check

\begin{array}{rclcrcl}23 - 7& = & 16 & \qquad &23&=&4(7) - 5\\16 & = & 16 & \qquad &23& = &28 - 5\\&&& \qquad &23& = &23\\\end{array}

OK.

3 0
3 years ago
Is
rjkz [21]

Answer:

It is the first answer choice.

Step-by-step explanation.

Use synthetic division and there is no remainder, so -1 is a factor

5 0
2 years ago
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