two numbers are in the ratio of of 8 ratio 9 but when 7 is is subtracted the from the number their ratio is 1 ratio 2 to find the number
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Answer :-
- The Numbers are 8 and 9.
Explanation :-
Let the numbers be 8x and 9x.
★ According to the Question,
⇒ (8x - 7)/(9x - 7) = 1/2.
⇒ 2(8x - 7) = 1(9x - 7).
⇒ 16x - 14 = 9x - 7.
⇒ 16x - 9x = -7 + 14.
⇒ 7x = 7.
⇒ x = 7 ÷ 7.
⇒ x = 1.
Therefore,
- 1st Number = 8x = 8.
- 2nd Number = 9x = 9.
Verification :-
⇒ (8x - 7)/(9x - 7) = 1/2.
⇒ (8 - 7)/(9 - 7) = 1/2.
⇒ 1/2 = 1/2.
LHS = RHS.
Hence, Verified.
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