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Let the rational number be x/y. When 2 is added to the denominator, => x/(y + 2) = 1 ⇒ x = y + 2 ⇒ y = x – 2 ------ (i) When 4 is added to the numerator, => (x + 4)/y = 1/2 ⇒ 2x + 8 = y ------- (ii) Solving equation eq. (i) and (ii) we get, => x – 2 = 2x + 8 ⇒ x = -10 Putting the value of ‘x’ in equation (i) we get, => y = -10 - 2 ⇒ y = -12 Required sum = -10 + (-12) = -22
3, 4, 10, 33, 136, ?, 4116
36, 49, 23, 62, ?, 75
47 82 117 152 187 ?
76, 82, 158, 240, 398, 638, ?
41 48 89 137 226 ?
...95 186 376 748 1500 ?
...45 47 97 296 ? 5966
95 110 128 ? 181 222
...Select the option in which the numbers are related in the same way as are the numbers of the following set.
(25, 18, 225)
19 8 ? -14 63 - 36
...