Question

22. Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, the ratio becomes 4:5. Then the numbers are: (A) 40, 42 (B) 42,48 (C) 40.48 (D) 44,50​

Answer 1

$\huge{\underline{\overbrace{\mathfrak \purple{Solution}}}}$

Two numbers are in the ratio 5 : 6

Let 5x, 6x be the two numbers

Then by the given condition

( 5x - 8) : ( 6x - 8) = 4 : 5

➙ ( 5x - 8) / ( 6x - 8) = 4 / 5

➙ 25x - 40 = 24x - 32

➙ 25x - 24x = 40 - 32

➙ x = 8

So the required numbers are (5×8) = 40 & (6×8) = 48

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