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1 year ago

Find the two numbers whose sum is 16 and whose product is maximum.

Mathematics

1 answer:

grandymaker [24]1 year ago

4 0

For example

1+15=16

2+14=16

3+13=16

4+12=16

5+11=16

6+10=16

7+9=16

8+8=16

the are all the sums

1*15=15

2*14=28

3*13=39

4*12=48

5*11=55

6*10=60

7*9=63

8*8=64

If the numbers do not repeat the product of 9*7=63 is the maximum product,

If the numbers can be the same the product of 8*8 is the maximum product

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Dmitriy789 [7]

On the line segment $x=2$ , $f$ depends only on $y$ :

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1 year ago

The ages of Aman and Arun are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present

Viktor [21]

Answer:

Aman's age = 20, Arun's age = 28

Step-by-step explanation:

Let $x$ = Aman's age

Let $y$ = Arun's age

- - - -

$x+4+y+4=56$ (Sum of their age is 56 after 4 years in the future)

$x+y+8=56$

$x+y=48$

$\frac{x}{y} = \frac{5}{7}$ (Ages are in the ratio 5:7)

$x=\frac{5}{7}y$

Now, we can use substitution to find for Arun's age:

$x+y=48$

$\frac{5}{7}y+y=48$

$\frac{12}{7}y=48$

$y=28$

∴ Arun is $28$

To find for Aman's age, we can use substitution:

$x+y=48$

$x+28=48$

$x=20$

∴ Aman is 20

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