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Anna [14]
1 year ago
9

A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago, the age of the father was five tim

es the age of the son. Six years from now the son’s age will be?
Mathematics
2 answers:
arlik [135]1 year ago
5 0

Answer:

20

Step-by-step explanation:

To solve this you have to make a system of equations.

Since the father and son's age sum up to 60, the first equation will be:

f + s = 60

Secondly, since the father's age is 5 times the age of the son 6 years ago the equation will be:

6 - (5s) = f

Now, you have to solve the first equation to let it equal to s

f + s = 60

f = 60 - s

Plug in

6 - 5s = 60 - s

     +s          +s

6 - 4s = 60

-6         -6

---------------------

-4s = 54

-----   -----

 -4     -4

   s ≅ 14

14 + 6 = 20

gregori [183]1 year ago
4 0

Answer:

20.

Step-by-step explanation:

x = father's age and y = son's age,

x + y = 60

x - 6 = 5(y - 6)

x - 5y = -24

Subtract this from first equation:

6y = 84

y = 14

So the son's age is 14.

Six years time son will be 20.

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Answer:

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Step-by-step explanation:

simple

5 0
2 years ago
A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the bord
amid [387]

Answer:

width of the border is 3 inches

Step-by-step explanation:

Given data

size = 8 inches by 10 inches

area = 144 square inches

to find out

width of the border

solution

first we consider width of border is x

area of new full rectangle =  (8 + 2x ) × ( 10 + 2x )

so we know  area of photo = 8 × 10 = 80 square inches

and area of border = 144 square inches that is given

so new area of photo with the border is 80 + 144 = 224 square inches

and we can say that

area of full rectangle  - area of the photograph = Area of Border

(8 + 2x) × (10 + 2x) – (80) = 144  square inches

80 + 16x + 20x + 4x^{2} – 80 = 144

4x^{2} + 36x – 144 = 0

solve thios equation we get  

2x^{2} + 9x – 36 = 0

solve thios equation we get  

(x + 12) (x – 3) = 0  

so here x have two value one is negative and other is positive

so we consider only positive value

x = -12 or x = 3

width of the border is 3 inches

7 0
3 years ago
used to have a square garage with 296 ft of floor space. recently built an addition to it. The garage is still a​ square, but no
wel

Answer:

230 ft

Step-by-step explanation:

5 0
3 years ago
At Harry's discount hardware everything is sold for 20 percent less than the price marked. If Harry buys tool kits for $80,what
ICE Princess25 [194]

Answer:

$120.

Step-by-step explanation:

The amount he sells the tool kit for  = 80 + 20% of 80

= 80 + 16

= $96.

Let m be the marked price, then

m - 0.20m = 96

0.8m = 96

m = $120.

5 0
3 years ago
What is -3x-3y=3 y=-5x-17 for substitution please show steps
Snowcat [4.5K]
Take -5x + 3x = -2x

because there is a -3x and a 3x they cancel each other out.

and the -17 is left

-2x = -17

divide -2 by -17 = 8.5
5 0
3 years ago
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