a 2-digit number is 4 times the sum of its digit and twice the product of the digit.find the numbers.
2006-06-23 20:14:46 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
36
3+6=9, 9x4=36
3x6=18, 18x2=36
2006-06-23 20:23:06 · answer #1 · answered by Jeannie 7 · 1⤊ 0⤋
Let the ten's digit be 'x' and the unit's digit be 'y'
so the number will be '10x+y'
Given: 10x+y=4(x+y)
-->6x=3y
-->y=3x
Also given: 10x+y=2xy
substitute y=3x in the above equation
on solving the linear equation you get x=3
since y=2x, y=6
hence the number is 10x+y=10*3+6=36
2006-06-24 05:16:49 · answer #2 · answered by Arpita 2 · 0⤊ 0⤋
Consider the number as 10x + y.
Now the two equations can be created as
10x + y = 4(x+y) -----(1)
10x + y = 2xy ---------(2)
On simplifying we get x = 3 and y = 6
So the correct answer is 36
2006-06-24 05:09:33 · answer #3 · answered by Arpit 2 · 0⤊ 0⤋
He is right.The answer is 36
2006-06-24 05:05:41 · answer #4 · answered by the gifted child 2 · 0⤊ 0⤋