Solve the following word problem by modelling them into linear equation: sum of two numbers is 160 and their ratio is 2:6 . Find t

1 thought on “Solve the following word problem by modelling them into linear equation: sum of two numbers is 160 and their ratio is 2:6 . Find t”

1. Step-by-step explanation:

   Given:–

   Sum of two numbers is 160 and their ratio is 2:6

   To find:–

   Find the numbers ?

   Solution:–

   Given that

   The ratio of two numbers = 2:6

   Let they be 2X and 6X

   Given that

   Sum of two numbers = 160

   => 2X +6X = 160

   => 8X = 160

   => X = 160/8

   =.> X = 20

   2X = 2×20=40

   6X = 6×20 = 120

   The numbers = 40 and 120

   Answer:–

   The required two numbers for the given problem are 40 and 120

   Check:–

   Sum of them = 40+120=160

   Their ratio = 40:120

   => (2×20):(20×6)

   => 2:6

   Verified the given relations

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