maths

what is the four digit number which satisfies these conditions;
The last digit is twice the first digit.
The second digit is twice the third digit.
The sum of the first and last digits is twice the third digit.

1. 👍 0
2. 👎 0
3. 👁 106
1. a b c d

d = 2 a

b = 2 c

a+d = 2 c

----------------------
a = 2 c - d = 2 c - 2 a
so
3 a = 2 c
hmmmm
if c is 1, nope
need common multiple for integer like
3 a = 6
2 c = 6
looks like a = 2 and c = 3
so far:
2 b 3 d
but d = 2 a
2 b 3 4
b = 2 c so
2 6 3 4

2634

1. 👍 0
2. 👎 0
posted by Damon
2. thank you verymuch. But how 3a=6?

1. 👍 0
2. 👎 0
posted by somay
3. I needed a common multiple of 2 and 3
that is 6
we are not doing fractions here, just integers

1. 👍 0
2. 👎 0
posted by Damon
4. ok thank you. God blss you

1. 👍 0
2. 👎 0
posted by somay

Similar Questions

1. math

The number uses every number 0-9 the numbers are used only once the fourth digit is 4 the first digit in the billions place is 3 the 5 is next to the last digit the sixth digit is 7 the digit after 3 is 9 the digit before 5 is

asked by Anonymous on October 20, 2011
2. Math

Find the number that satisfies all of the following conditions: A two-digit number, A perfect square, A power of 3, The digit product < 10

asked by Sammyjoo on August 15, 2012
3. math

need help with math word problems. just don't understand. What is the number? you have a four digit number where the thousands digit is four greater than the hundreds digit.The tens digit is twice the thousands digit. The ones

asked by vince on March 8, 2007
4. kv luchnow

one of two digit of a two digit number is 5 time other digit if we interchange the digit of is two digit number the resulting new number is 6 more then thrice theoriginal number find two digit original two digit number

asked by juni on September 7, 2015
5. singapore math

My 3rd grade son get this math problem. It states that John thinks of a 3-digit number. What is his number? Use the clues below to find John's number. Every digit is different. The sum of all thedigits is 19. The difference

asked by lori on November 4, 2012
6. Math

It is a 5 digit no. ,palindrome,divisible by 4,10 digit is cube root of 1 digit,product of 100 digit and 1 digit is 54 ,sum of hundred and ones digit is 15.what is the number?

asked by Pooja on October 25, 2009
7. Math

i am a 4 digit number between 3000 and 4000.My ones digit is twice my thousands digit.My hundreds digit is the same as my ones digit and my tens digit is one less than the hundreds digit.If the sum of my digit is twenty,what

asked by Anne on June 5, 2012
8. math

Mrs. Rossi wrote the following clus for a mystery 4-digit number. .The tens digit is twice the one digit .The hundreds digit is twice the ones digit. .The ones digit is 3. .The sum of the digits is 19. What is the mystery number?

asked by gabriella on November 17, 2010
9. Algebra

Determine all pairs (m, n) of a two-digit natural number m and a single-digit natural number n satisfying the following conditions. 1) If the number n is given as the number between the two digits of the number m, then a

asked by Raihan Khan on November 1, 2016
10. Math

Determine all pairs (m, n) of a two-digit natural number m and a single-digit natural number n satisfying the following conditions. 1) If the number n is given as the number between the two digits of the number m, then a

asked by Raihan on November 1, 2016

More Similar Questions