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put this solution on YOUR website! The sum of two numbers is 90. The second is 10 more than 4 times the first. What are the two numbers.
Let one of the numbers be x and the other y.
The sum of two numbers is 90 ------- x + y = 90
The second is 10 more than 4 times the first ---------- y = 4x + 10
We now have a pair of simultaneous equations
x + y = 90....(1)
y = 4x + 10...(2)
Substitute (2) into (1)
x + (4x + 10) = 90
5x + 10 = 90
5x = 80
x = 16
y = 4x + 10 = 4 x 16 + 10 = 64 + 10 = 74
Hence, our two numbers are 16 and 74.
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