Let the age of the son be x and the age of the father be y.Therefore, x + y = 65 ..........(i)or, 2 x (x + 5) = (y + 5)or, 2x + 10 = y + 5or, 2x - y = 5 ...................(ii)From equations (i) and (ii), x = 20, y = 45
Out of the total six letters, three are vowels (E, I, E) and three are consonants (SRS)Here, E and S come twice If we take all the vowels together the number of letters is 3 + 1 = 4So, letters can be arranged in 41/21 ways and three vowels can be arranged in 31/21 ways ∴ Total number of ways = 41/21 x 31/21= 12 x 3 = 36
Let the middle digit be x. Then, 2x = 10 or x = 5.So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit. Hence, required number = 253.
EXAMIANS