the sum of 2 numbers is 80 and the difference is 8 find numbers and their ratio
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Solution:
Okay,
Let the smaller number be x,
and the greater number be (80 - x).
It is given that the difference of the two numbers is 8.
∴ x - (80 - x) = 8
⇒ x - 80 + x = 8
⇒ 2x - 80 = 8
⇒ 2x = 8 + 80 = 88
⇒ x = 88/2 = 44
∴ the smaller number is x = 44,
greater number is (80 - x) = 80 - 44 = 36
∴ their ratio = 44 : 36
= 44/36 = 11/9 = 11 : 9
Answer:
The numbers are 44 and 36 and their ratio is 11 : 9.
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