A two-digit number is seven times the sum of its digits. If each digit is increased by 2, the number thus obtained is 4 more than six times the sum of its digits. Find the number. Select the correct option
A) 42 B) 24 C) 48 D) Data inadequate E) None of these
Let the two-digit number be l0 x + y.   10x + y = 7(x + y) Þ x = 2y...(i)   10(x + 2) + y + 2 = 6(x + y + 4) +4   or 10x + y + 22 = 6x + 6y + 28 Þ 4x – 5y = 6 ... (ii)   Solving equations (i) and (ii), we get x = 4 and y = 2   42nswer 42
<result>A</result>
A two-digit number is seven times the sum of its digits. If each digit is increased by 2, the number thus obtained is 4 more than six times the sum of its digits. Find the number.