Ratio and Proportion - Quantitative Aptitude (MCQ) questions for Q. 96

Q.  Determine the number which should be subtracted from (14, 17) and (34, 42) to make remainders in same ratio?
- Published on 15 Jun 15

a. 1
b. 2
c. 4
d. 7

ANSWER: 2
 
It is asked in the question that we need to find the number which when subtracted by 14,17 and 34,42 respectively will give their remainders in same ratio.
Mathematically this can be represented in this form:

=> (14-x)/(17-x) = (34-x)/(42-x)

=> Applying Componando &Dividendo

=> C/D = (C+D)/(C-D)

=> (31-2x)/(-3) = (76-2x)/(-8)

=> 248-16x = 228-6x

=>20=10x

=>2=x

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