A number is three times another number.

If 20 is added to both the numbers, one of the new number becomes

Two times the other new number

Asked by diya_shukl | 5th May, 2015, 07:31: PM

Expert Answer:

$L e t space x space a n d space y space b e space t w o space n u m b e r s space s u c h space t h a t space x equals 3 y... left parenthesis 1 right parenthesis T h u s comma space x greater than y. L e t space u s space 20 space t o space b o t h space t h e space n u m b e r s. T h u s comma space n e w space n u m b e r s space a r e space x plus 20 space a n d space y plus 20. F r o m space t h e space g i v e n space c o n d i t i o n comma space w e space h a v e comma x plus 20 equals 2 open parentheses y plus 20 close parentheses rightwards double arrow x plus 20 equals 2 y plus 40 rightwards double arrow x minus 2 y equals 40 minus 20 rightwards double arrow x minus 2 y equals 20... left parenthesis 2 right parenthesis R e w r i t i n g space e q u a t i o n space left parenthesis 1 right parenthesis space a s comma x minus 3 y equals 0... left parenthesis 3 right parenthesis S u b t r a c t i n g space e q u a t i o n space left parenthesis 3 right parenthesis space f r o m space e q u a t i o n space left parenthesis 2 right parenthesis comma space w e space h a v e comma 3 y minus 2 y equals 20 minus 0 rightwards double arrow y equals 20 S u b s t i u t i n g space t h e space v a l u e space o f space y space i n space e q u a t i o n space left parenthesis 1 right parenthesis comma space w e space h a v e comma x equals 3 cross times 20 equals 60 T h u s space t h e space v a l u e s space o f space x space a n d space y space a r e comma space 60 space a n d space 20$

Answered by Vimala Ramamurthy | 5th May, 2015, 08:50: PM

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