Question

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

If x = the smaller number and y = the larger number, then which of the following systems of equations represents the word problem?

x + y = 95 and x + 2y = 120
x + y = 95 and 2x + y = 120
x + y = 95 and 2(x + y) = 120

Answer 1

@ybarrap

Answer 2

i think the problem is very easy, it is simply translating english sentence to mathematical sentence/equation. can i help u?

Answer 3

yes

Answer 4

for u, what is ur choice base on the choices?

Answer 5

the middle one

Answer 6

but thats not how i would write it

Answer 7

It is the second one. They say "twice the smaller number", so 2x is definitely included.

Answer 8

Mertsj, they say that x is the smaller number and y is the larger number.

Answer 9

ok.
x = smaller number
y = larger number
x+y=95
2x+y=120

Answer 10

so in other words yes. its the middle one