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Question
The difference between two numbers is 15. Taking the smaller number as x; find:
(i) the expression for the larger number.
(ii) the larger number, if the sum of these numbers is 71.
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Solution
Difference of two numbers = 15
Let smaller number = x
∴ Second number = x + 15
∴ Larger number = x + 15
If sum of two numbers = 71
Then x + x + 15 = 71
(i) 2x + 15 = 71
⇒ 2x = 71 - 15 = 56
x = `56/2 = 28`
(ii) Larger number = x + 15 = 28 + 15 = 43
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