Question

Two number are in the ratio of 4.5.
if the sum
of
these number
is 981.find
the number

​

Answer 1

Let x and y be the two numbers;

Equation 1: x/y = 4/5 (from problem statement)

Equation 2: x + y = 108 (from problem statement)

From equation 2: x = 108 - y

Substitute x into equation 1, you get (108-y)/y = 4/5

Multiply y on both sides you get, 108 - y = 4y/5

Multiply 5 on both sides you get, 108*5 - 5y = 4y

Add 5y to both sides you get, 540 = 9y

Solve for y = 540/9 = 60

Plug y into equation 2 you get, x + 60 = 108

Subtract 60 from both sides, you get x = 48.

Thus the answers are 48 and 60.

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