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OLEGan [10]
3 years ago
8

The sum of two numbers is 95. If the larger is increased by twice the smaller, the result is 120. Find the numbers.

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0
Hello!

You can make two expressions based on what you know

let x equal the larger number
let y equal the smaller number

x + y = 95
x + 2y = 120

We can use elimination to get rid of x

You can subtract the two equation to get rid of x

-y = -25

Since y is negative we can multiply both sides by -1 to make y positive

y = 25

Now we can put this into one of the other equations to find x

x + 25 = 95

subtract 95 from both sides

x = 70

The answers are 70 and 25

Hope this helps!
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