Of two numbers, 4 times the smaller one is less then 3 times the 1arger one by 5. If the sum of the numbers is larger than 6 times their difference by 6, find the two numbers.  Choose the correct option:
A) 59 and 43  B) 55 and 44  C) 58 and 43  D) 59 and 42  E) 57 and 40
Let the numbers be x and y, such that x &gt; y   Then, 3x - 4y = 5 ...(i) and (x + y) - 6 (x - y) = 6 =&gt; -5x + 7y = 6 …(ii)   Solving (i) and (ii), we get: x = 59 and y = 43.   Hence, the required numbers are 59 and 43.   59 and 43nswer is 59 and 43.
<result>A</result>
Of two numbers, 4 times the smaller one is less then 3 times the 1arger one by 5. If the sum of the numbers is larger than 6 times their difference by 6, find the two numbers.