Sum of 2 number is 35 and difference is 13 Find the numbers and select their product.
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x + y = 3 5 . . . ( i ) x − y = 1 1 . . . ( i ) a d d i n g ( i ) a n d ( i i ) w e g e t 2 x = 4 8 x = 2 4 S u b s t i t u t i n g t h e v a l u e o f x w e g e t y = 1 1 H e n c e t h e a n s w e r i s 2 4 × 1 1 = 2 6 4
difference is given here as 13 which means x-y=13 and we get x=24 and y=9 x*y=216 so I feel that ans should be none of these..pls clarify my statement...regards siva
x + y = 3 5 ...1
x − y = 1 3 ...2
Rearrange 1 to get
x = 3 5 − y
Substitute in 2
( 3 5 − y ) − y = 1 3
− 2 y = 1 3 − 3 5
y = − 2 − 2 2
y = 1 1
x = 3 5 − y
x = 3 5 − 1 1
x = 2 4
x y = 2 6 4
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L e t " x " a n d " y " b e t w o n u m b e r s T h e n S u m x + y = 3 5 . . . . . . . . . . . . . . . ( i ) D i f . x − y = 1 3 . . . . . . . . . . . . . . . ( i i ) B y a d d i n g ( i ) & ( i i ) , w e h a v e 2 x = 4 8 o r x = 2 4 F r o m ( i ) y = 1 1 P r o d u c t x y = ( 2 4 ) ( 1 1 ) t h u s a n s w e r i s 2 6 4