A two-digit number is six times its single-digit the sum of the digits is 6 find the two number
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QUESTION ;
- A two-digit number is six times its single-digit the sum of the digits is 6 find the two number.
ANSWER ;
Method 1 :
- Let the 2-digit number be xy.
- Now xy can be expended as (10x + y).
- 10x + y = 6(x + y)
- => 4x - 5y = 0
- Similarly, (x + y) + (10x + y) = 63
- => (11x + 2y) = 63
- Now solving these two equations, x=5, y=4. So the number is 54.
Method 2 :
- The 2-digit number is a multiple of 6. And it can be concluded that it is less than 63.
- So the first number that is a multiple of 6 and immediately less than 63 is 54. Just cross-check and Voila..
❤@vishnu❤
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