If x

Question

If x < y and y < 10, what is the greatest possible integer value of x + y?

A. 16
B. 17
C. 18
D. 19
E. 20

chetan2u · Accepted Answer

selim , always be care ful to read wordings..
we are looking for max integer value of x and y and x and y need not be integers

so take the max possible value if x<y<10
 9.9999998<9.999999<10 
so both x and y can be just near 10 but less than 10..
so x+y will be near 20 but slightly less than that so 
answer 19

KSBGC · Answer

Given,

x<y

and y < 10

we are asked to determine the greatest value of x + y .

y ( max) = 9.9999

x ( max) = 9.9998

x + y = 19 ( max)

Thus the best answer is D.

MrCleantek · Answer

I think it will be D. Take x = 9.2, y= 9.8, then x + y = 19. Since they have asked for greatest possible integer value and they have not mentioned x and y are integers.

KSBGC · Answer

Thanks guru. Holy ****. Simply miss it because of excitement.

PKN · Answer

Given x<y<10.
Max(x+y)=max(x)+max(y)=9.99+9.98=19.97
But we are asked the greatest possible integer value of x + y, hence Max(x+y)=19

Ans.(D)

GyMrAT · Answer

We need integer value possible for Max (x + y)

Given, x < y < 10, hence Max (y) = 9.9 & Max (x) = 9.1, considering only one decimal place for simplicity

We get integer value possible for Max (x + y) = 9.9 + 9.1 = 19

Max (x + y) cannot be 20, as both x & y are less than 10.

Hence the only integer value for Max (x + y) below 20, is 19.

Answer D.

Thanks,
GyM

AkshdeepS · Answer

We need x + y as integer but x and y can be fractions. With this in mind,

Say x = 9.8 , y = 9.9 as x < y

x + y = 19.70 = 19

So, D

KanishkM · Answer

Cool question

So y> x & 10>y greatest integer value of x+y trap answer B x and y can be numbers/decimals/fractions 9.9+8.9 = 18.8 19 D

MHIKER · Answer

y can be  =9.99

So,  x=9.98

x+y=9.99+9.98=18<x+y<20

The answer is D

mysterymanrog · Answer

Simpler way to solve without using decimals:

given:

x<y 
 y<10

we can do the following:
 x+y<y+y 
 x+y<2y 
 2*y<10*2 
 2y<20

We can sub 2y from the previous inequality to get
 x+y<20

The least integer must therefore be 19, since x+y is less than 20.

Paras96 · Answer

If x < y and y < 10, what is the greatest possible integer value of x + y?

Take y=9.9 and x=9.1

sum = 19

Hence D

The problem does not says that x and y need to be an integer

shriyaarora8 · Answer

Why are we not considering negative values? Nowhere does it say that x&y have to be positive. In that case, I can take x=-29 and y=9... x+y=20.

Krunaal · Answer

-29 + 9 =  -20

If x < y and y < 10, what is the greatest possible integer value of x

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