Question

the difference between two whole number is 75 the ratio of two number is 8 ratio 3 find number

Answer 1

$\textbf{Answer :}$

Let us take the two numbers as x and y

Given that,

a - b = 75

or, a = b + 75 ...(i)

a : b = 8 : 3

or, a/b = 8/3

or, 3a = 8b

or, 3 (b + 75) = 8b

or, 3b + 225 = 8b

or, 8b - 3b = 225

or, 5b = 225

or, b = 225/5

or, b = 45

From (i), we get

a - 45 = 75

or, a = 75 + 45

or, a = 120

Therefore, the two required whole numbers are 120 and 75.

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