Aâkäsh Kùmãr Pândéý
Last Activity: 7 Years ago
Solution : 6 – 4 = 27 – 5 = 28 – 6 = 29 – 7 = 210 – 8 = 2Number divisible by 6, 7, 8, 9 and 10 = LCM of 6, 7, 8, 9 and 10 = 2520But , X is the greatest 4 digit number. So, the multiples of 2520 will also be divisible by 6, 7, 8, 9 and 10.The greatest 4-digit number multiple of 2520 = 7560Now, if we substract 2 from 7560 , then when that number is divided by 6, 7, 8, 9 and 10 , it would leave remainder of 4, 5, 6 7 and 8 respectively.Hence , the required number = X = 7560 – 2 = 7558Sum of the digits of X = 7+5+5+8 = 25