Question
Two numbers are such that if 12 is subtracted from each,
the resulting numbers are in the ratio 7 : 9. If the sum of the original numbers is 216, find the numbers.Solution
Let the numbers be x and y. Given: (x − 12) : (y − 12) = 7 : 9 ⇒ (x − 12)/(y − 12) = 7/9 ⇒ 9(x − 12) = 7(y − 12) ⇒ 9x − 108 = 7y − 84 ⇒ 9x − 7y = 24 …(1) Also, x + y = 216 …(2) From (2): x = 216 − y Substitute into (1): 9(216 − y) − 7y = 24 1944 − 9y − 7y = 24 1944 − 16y = 24 16y = 1944 − 24 = 1920 y = 1920 / 16 = 120 Then x = 216 − 120 = 96 Answer: The numbers are 96 and 120
- Find the wrong number in the given number series.
7, 15, 29, 49, 75, 107 10, 35, 135, 360, 760, 1136, 2285.Â
Find the wrong number in the given number series,
137, 112, 148, 102, 163, 82
21Â Â Â Â Â Â Â Â Â Â 32Â Â Â Â Â Â Â Â Â Â 54Â Â Â Â Â Â Â Â Â Â 86Â Â Â Â Â Â Â Â Â Â 131Â Â Â Â Â Â Â Â 186
...Find the wrong number in the given number series.
- 342, - 218, - 96, 27, 150, 273
16, 48, 124, 240, 360, 360
Find the wrong number in the given number series.
70, 94, 130, 182, 274, 406
86,142, 232, 364, 547
- Find the wrong number in the given number series.
124, 130, 142, 160, 186, 214 19, 20, 39, 59, 98, 156, 255
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