All categories

2 years ago

The sum of a man and his wife is 81 years. The ratio of their ages is 5:4 Find the age of the younger person

Mathematics

1 answer:

snow_tiger [21]2 years ago

5 0

Answer:

Age of a younger person (wife) is $36$ years.

Step-by-step explanation:

The sum of a man and his wife is $81$ years.

Also, ratio of their ages is $5:4$

Let ages of a man and his wife be $5x$ and $4x$ .

Therefore,

$5x+4x=81\\9x=81\\x=9$

Age of man $=5x=5(9)=45$ years

Age of his wife $=4x=4(9)=36$ years.

So,

age of a younger person (wife) is $36$ years.

You might be interested in

Three consecutive even numbers have a sum where one half of that sum is between 90 and 105. Write an inequality to find the the

viva [34]

90 < [( n + n + 2 + n + 4) / 2] < 105

90 < (3n + 6) / 2 < 105

3n + 6 > 180 and 3n + 6 < 210

n > 58 , n < 68

58 < n < 68 answer

6 0

3 years ago

What is the distance between the points (2, 10) and (-6, 4) on the coordinate plane?

Galina-37 [17]

It's 3/4 because (y2-y1)/(x2-x1)

3 0

3 years ago

If 40% of a number is 80 what is 25% of that number?

olga2289 [7]

Answer:

25% of 200 is 50

Step-by-step explanation

40% of a number is 80

.40 * n = 80

Divide each side by .4

.40 n/.4 = 80/.4

n = 200

The number is 200

Now lets find 25 percent of that number

.25 * 200 = 50

7 0

3 years ago

In a genetics experiment on peas, one sample of offspring contained green peas and yellow peas. Based on those results, estimate

dem82 [27]

Complete Question

In a genetic experiment on peas, one sample of offspring contained 436 green peas and 171 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected? The probability of getting a green pea is approximately: Is the probability reasonably close to 3/4?

Answer:

The probability is $P(g) =0.72$

Yes the result is reasonably close

Step-by-step explanation:

From the question we are told that

The number of of green peas is $g = 436$

The number of yellow peas is $y = 171$

The sample size is $n = 171 + 436 = 607$

The probability of getting an offspring pea that is green is mathematically represented as

$P(g) = \frac{g}{n}$

$P(g) = \frac{436}{607}$

$P(g) =0.72$

Comparing $P(g) =0.72$ to $\frac{3}{4} = 0.75$ we see that the result is reasonably close

7 0

3 years ago

The table shows the relationship

Airida [17]

The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0

Change in weight per day of hibernation = - 0.03
Change in weight for 115 days = - 3.45 ounces

A linear model can be created using the data in the table given using a regression calculator or excel ;

The linear model obtained in the form y = m + bx is :

y = - 0.03x + 0
y = change in weight
x = number of days of hibernation
Intercept = 0
Slope = -0.03

The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.

Using the regression equation, substitute, the vlaue of x = 115
-0.03(115) + 0 = - 3.45

Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.

Learn more :brainly.com/question/18405415

8 0

1 year ago