Question

A 2-digit number is divisible by both 2 and 5. Half this number is less than 6 times the tens digit of the number by 4. Find this 2-digit number.

@amistre64

Answer 1

the LCM of 2 and 5 is 10, i wonder if its a multiple of 10

Answer 2

"6 times the tens digit of the number by 4"

cant make sense of that part

Answer 3

half the number is 4 less than 6 times the tens digit of the number?

Answer 4

i cannot get the idea haha

Answer 5

i just type this from the paper

Answer 6

grind it till you find it
you only have 9 choices

Answer 7

Half this number is less than 6 times the tens digit of the number by 4
n/2 + 4 = 6t maybe?

Answer 8

the two-digit number is 10*a + b
b is zero because only 0 is a single digit and divisible by 2 and 5
5a+4 = 6a

Answer 9

anyone see what I did there?

Answer 10

@amistre64 i don't know but i think so

Answer 11

@Peter14 i got it

Answer 12

lets try 20: the tens digit is 2
half of it is 10
\(10=6\times 2-4=12-4=8\) nope, not \(20\)

Answer 13

10t/2 + 4 = 6t

5t + 4 = 6t

4 = t

maybe its 40?

Answer 14

@Peter14 but why 5a?

Answer 15

the answer is 40

Answer 16

because it's half of 10a

Answer 17

i don't know the stpes...

Answer 18

@Peter14 okay..

Answer 19

experiment! not every thing needs to be solved via an equation
check and see how it works, then you will know the answer

Answer 20

"Half this number is less than 6 times the tens digit of the number by 4"
reword this as: half this number is 4 less than 6 times the ten digit of the number

Answer 21

oh i see. thank you @satellite73 @Peter14 @amistre64

i am still confusing the sentence that @Peter14 has just mentioned

Answer 22

its a confusing sentence, i agree.

but i finally read it as Peter defined it

Answer 23

the sentence boils down to this: (10*a + b)/2 = 6*a - 4
since we already know b=0, this simplifies to: 5*a = 6*a-4

Answer 24

oh i really got it . thank you three very much

Answer 25

you're welcome

Answer 26

i am thinking who should i give the medal to ..