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Alecsey [184]
3 years ago
13

Find the smallest positive integer that has a remainder of 2 when divided by 4 and remainder of 3 when divided

Mathematics
1 answer:
mestny [16]3 years ago
4 0

Answer:

18

Step-by-step explanation:

Hello

The number is more by three than a multiple of of 5 (i.e 5x +3) and more than 2 than a multiple of 4 (ie 4y+2(

Now 5x+3=4y+2

ie 5x +1 =4y

we need to give the lowest pair of values to x and y such that the last equality is satisfied.

By trial, x = 3 and y = 4

thus the number is 5x+3 =5(3)+3 =18=4y+2 =4(4)+2=18

I hope it has helped you.

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The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?
yKpoI14uk [10]

Answer:

34

Step-by-step explanation:

1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then

2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;

3. according  to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;

4. if to make up the system of two equation and calculate the values of 'x' and 'y':

5. if x=34, then Caleb is 34 old now.

4 0
4 years ago
The perimeter of a rectangular swimming pool is 446 centimeters the width of the pool is 7 centimeters less than the length what
NeX [460]
The length of the swimming pool is, 230 centimeters in length, and 216 centimeters in width. How I got my answer.

I first divided 446÷2=223, then I subtracted 223-7=216, that's width. Now I realise that there is 7 remaining, so I added 223+7=230, that's length!!

So to double check my work I added the width and length together, 216+230=446.

I hope this helps!
8 0
3 years ago
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