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Lorico [155]
3 years ago
13

The sum of two numbers is 61.The larger number is 4 more than two times the smaller number. What is the smaller number?

Mathematics
2 answers:
RideAnS [48]3 years ago
6 0
Smaller number = x
larger number = y

\left \{ {{y+x=61} \atop y=2x+4}} \right.

solve the system of equations by substitution:

(2x+4) + x = 61
3x+4 = 61
3x=57
x=19

Plug x into the top equation and solve for y:

y + (19) = 61
y = 42
Liula [17]3 years ago
4 0
A + b = 61       a > b        a = 2b + 4

2b + 4 + b = 61
3b + 4 = 61
3b = 57
b = 19
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