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3 years ago

sam counted out loud by 6s jorge counted out loud by 8s what are the first three numbers both students said

Mathematics

2 answers:

Papessa [141]3 years ago

7 0

Answer:

The first three numbers both students said are 24, 48, 72

Step-by-step explanation:

Given : Sam counted out loud by 6s and Jorge counted out loud by 8s.

We have to find the first three numbers both students said.

Since, Sam counted numbers which are multiple of 6

Thus, he counted numbers 6, 12, 18, 24, 30,..........

and Jorge counted numbers which are multiple of 8

Thus, he counted numbers 8, 16, 24, 32, 40,..........

Number that both Sam and Jorge said must be those numbers that are multiple of 6 as well as 8 that is Lowest common multiple of 6 and 8.

6 can be written as 3 × 2

8 can be written as 2 × 2 × 2

Thus, LCM is calculated by multiply factor and taking common factor one at a time.

Thus, LCM(6 ,8) = 3 × 2 × 2 × 2 = 24

Thus, the common number they both called are multiple of 24

that is the first three numbers both students said are 24, 48, 72

bogdanovich [222]3 years ago

7 0

Common multiples: 24 , 48 , 72

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We can make several two 3-digit numbers from these blocks. An example is listed below:

Example:
Using 3 hundred block, 2 tens blocks and 4 ones block to make one number and remaining blocks to make the other number. The remaining blocks will be 4 hundred blocks, 3 tens blocks and 4 ones blocks
The two numbers we will make in this case are:

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This way changing the number of blocks in each place value, different 3 digit numbers can be generated.

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