74x29y6 is divisible by 72 then what will be the value of 2x+3y
Answers
Here its ur answer19
Hope its helps u
Answer:
19 or 23
Step-by-step explanation:
To divide the given number by 72, the number should be divisible by both 8 and 9 (Because 8 x 9 = 72)
Step 1:- To divide the given number by 8, the last three digits of the number should be divisible by 8.
Hence, the number 9y6 should be divisible by 8. The possibilities of "y" value are 3 and 7.
Step 2:- To divide the given number by 9, the sum of all digits should be divisible by 9.
If the value of y = 3 as derived above, then "x" should be 5 so that the sum of all digits (36) is divisible by 9 as shown below:
7+4+5+2+9+3+6=36
So, the possible set of (x,y) = (5,3)
Now, if the value of y = 7 as derived in step 1, then "x" should be 1 so that the sum of all digits (36) is divisible by 9 as shown below:
7+4+1+2+9+7+6=36
So, the possible set of (x,y) = (1,7)
(1) The first possible value of expression 2x+3y = 2*5+3*3 = 19
(2) The second possible value of expression 2x+3y = 2*1+3*7 = 23