Bunuel wrote:

The length and width of a rectangular yard are 11 meters and 5 meters respectively. If each dimension were reduced by x meters to make the ratio of length to width 8 to 3, what would be the value of x?

A. 1.4

B. 1.6

C. 1.8

D. 2.0

E. 2.2

Kudos for a correct solution.

hi,

again a different approach is substituting values after understanding the properties of number...

1) the initial value or ratio is 11:5... if we subtract a value x from the two values ratio becomes 8:3..

2) the above point tells us that 11-x should be multiple of 8 and 5-x should be a multiple of 5....

now lets look at the choice..

A. 1.4

110-14=96 is multiple of 8 and 50-14=36, which is multiple of 3..so this is what we are looking for.. ans

lets look at other choices also

B. 1.6

110-16=94 is not a multiple of 8 and 50-16=34, not a multiple of 3..so this is not what we are looking for

C. 1.8

110-18=92 is not a multiple of 8 and 50-18=32, not a multiple of 3..so this is not what we are looking for

D. 2.0

110-20=90 is not a multiple of 8 although 50-20=30, a multiple of 3..so this is not what we are looking for

E. 2.2

110-22=88 is a multiple of 8 but 50-22=28, not a multiple of 3..so this is not what we are looking for

ans A

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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