15. Two numbers are in the ratio 9:13 and their sum is 176 Find the numbers.
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Answered by
23
Answer:
Given :-
- Two numbers are in the ratio of 9 : 13 and their sum is 176.
To Find :-
- What are the numbers.
Solution :-
Let,
◘ First number = 9x
◘ Second number = 13x
According to the question,
⇒ 9x + 13x = 176
⇒ 22x = 176
⇒ x = 176/22
➠ x = 8
Hence, the required numbers are :
➲ First number :
↦ 9x
↦ 9(8)
↦ 9 × 8
➦ 72
➲ Second number :
↦ 13x
↦ 13(8)
↦ 13 × 8
➦ 104
∴ The numbers are 72 and 104.
VERIFICATION :-
↦ 9x + 13x = 176
By putting x = 8 we get,
↦ 9(8) + 13(8) = 176
↦ 72 + 104 = 176
➲ 176 = 176
Hence, Verified.
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