Question

If the larger of two numbers whose sum is 100, is divided by the smaller number, the quotient is 4 and the remainder is 15. What are the two numbers?

Answer 1

Answer:

Step-by-step explanation:

let the numbers be x and y,

Such that x > y..

Now

Given

x + y = 100   .......1

And

x = 4y + 15   .......2

Substitute 2 in 1

(4y + 15) + y = 100

5y + 15 = 100

5y = 85

y = 17

=> x = 100 - 17

=> x = 83

Therefore the numbers are 83 and 17.

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