Mathematics
Grade10
Easy

Question

In a test series two different batsmen scored y runs in the same match, x denotes the number of innings. Batsman A scored y = x+ 3, batsman b scored y = 3x + 3.

How many runs does batsman B scored?
 

  1. 12
  2. 14
  3. 18
  4. 20

The correct answer is: 12


    12 comma space i s space t h e space c o r r e c t space c h o i c e
B a t s m a n space A space s c o r e d space y space equals space x squared plus 3 space..... space left parenthesis a right parenthesis
space b a t s m a n space b space s c o r e d space y space equals space 3 x space plus space 3..... left parenthesis b right parenthesis
b o t h space b a t s m a n space m a k e space s a m e space r u n space t h a t space i s space y space
s o space f r o m space t h e space e q u a t i o n space space a space space a n d space space b
x squared plus 3 space equals space 3 x space plus space 3
x squared minus 3 x space equals space 3 space minus space 3
x space left parenthesis space x space minus space 3 space right parenthesis space equals space 0
s o space space x equals space 0 space comma space space a n d space space x space equals space 3
t o space m a k e space t h e space r u n space f o r space t h e space b o t h space b a t s m a n space i n n i n g s space s h o u l d space b e space h a p p e n
s o space x space s h o u l d space n o t space b e space e q u a l space t o space 0
s o space x space equals space 3 space
b a t s m a n space b space s c o r e d space y space equals space 3 x space plus space 3 space left parenthesis space g i v e n space i n space t h e space q u e s t i o n right parenthesis
p u t space t h e space v a l u e space o f space x space equals 3
y space equals space 3 x space plus space 3
y space equals space 3 cross times 3 space plus space 3
b a t s m a n space b space s c o r e d space y space equals space 12 space i s space t h e space a n s w e r
space

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