Question

if 1/5 of a number is subtracted from 1/3 of that number the result is 6. find the number​

Answer 1

Answer:

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Step-by-step explanation:

given, 1/5 of a number is subtracted from 1/3 of that number, the result is 6.

x/3 - x/5 = 6

=> 5x - 3x/15 = 6

=> 2x = 90

=> x = 45.

Thus the number is 45.

Answer 2

Okay, so let's assume the number to be 'x'.

According to the question,

1/3x - 1/5x = 6

--> x [1/3 - 1/5] = 6

--> x [2/15] = 6 ------ (LCM)

--> x = 6 [15/2] ------ (Reciprocal)

--> x = 15 × 3

--> x = 45

∴ The required number = 45