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saveliy_v [14]
3 years ago
8

A brother is two years older than his sister.In 10 years time the sum of their ages will be 48.Find their present ages​

Mathematics
1 answer:
defon3 years ago
7 0

Answer:

sister-13

brother-15

Step-by-step explanation:

make a simple equation using the information given:

(s+10)+(s+2+10)=48

simplify for s and you will find the sister's age. Add two for the brothers age.

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what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.
Leokris [45]

Answer:

To find the sum of  a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b  are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When  a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

a+ b= 8 +(-2) =6

I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction=\frac{p}{q} and b = Any fraction=\frac{u}{v}

now ,

\frac{p}{q} + \frac{u}{v}

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their  L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then ,\frac{p}{q} + \frac{u}{v}

=\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\

= {{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k

then ,

a + b=\frac{k}{r}





5 0
3 years ago
Help with this question please number 8
almond37 [142]
The measure of BDA is 40 degrees
6 0
3 years ago
The price of an item has been reduced by 95%. The original price was $93.
mixas84 [53]

Answer:

4.65

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The volume of the prism shown is 72. in3
Vesna [10]

Answer:

  24 in³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height.

The volume of a pyramid is given by the formula ...

  V = (1/3)Bh

where B and h have the same definitions.

For a pyramid with the same B and h as a prism, the volume is 1/3 that of the prism:

  (1/3) × (72 in³) = 24 in³ . . . . volume of the pyramid

8 0
3 years ago
Fran swims at a speed of 2.8 mph in still water. The Lazy River flows at a speed of 0.8 mph. How long will it take Fran to swim
Elis [28]

Answer:

1.49 hrs or 1 hr and 30 minutes approximately

Step-by-step explanation:

if fran go 2.8m up then the river flow at a rate of 0.8m; the since we are taking the speed of fran and river to be constant. the ratio between their speed will always remain constant. that is if 0.8/2.8 = 0.286≈ this will be always constant.

so if he go up 4m then the horizontal length has to be 1.143 because 1.143/4 = 0.286.

now we find the distance between frans initial positon and final position. to find it we use pythagoras theorem.

\sqrt{(4^2 + 1.143^2)} =4.160 miles

to find the time divide distance traveled by speed;

4.160/2.8 = 1.49 hrs

7 0
3 years ago
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