Question 142
If the seven digit number $$74x29y6$$ is divisible by $$72$$, then what will be the value of $$(2x + 3y)$$ ?
Solution
74x29y6 is divisible by 72
so this means the number is divisible by 9 and 8
Now for number to be divisible by 8
The last three digits should be divisible by 8
so we 9y6 mod 8 =0
so we get y=3
Now 74x2936 should be divisible by 9 as well
for a number to be divisible by 9
The sum of digits of number should be divisible by 9
we get 31+x mod 9 =0
we get x=5
Now 2x+3y = 19
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