the ratio of two number is 11:9 their sum is 180. find the number.
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Given:
- The ratio of two numbers is 11:9
- Sum of two numbers = 180
To find:
- The numbers?
Solution:
☯ Let the two numbers be 11x and 9x.
According to the given Question:
First number + Second number = 180
⇒ 11x + 9x = 180
⇒ 20x = 180
⇒ x = 180/20
⇒ x = 9
Therefore,
- First number, 11x = 11 × 9 = 99
- Second number, 9x = 9 × 9 = 81
Hence, the required two numbers are 99 and 81 respectively.
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Verification:
It is given that,
Sum of required two numbers = 180
Therefore,
→ 99 + 81 = 180
→ 180 = 180
→ LHS = RHS
Hence, Proved!
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