The sum of two numbers is 83. The sum of 2 times the first number and 3 times the second number
1 answer:
Answer: the two numbers are 46 and 37
Step-by-step explanation:
Given that:
Sum of two numbers = 83
Sum of two times the first number and three times the second number = 203
From the question :
Let the numbers = a and b respectively
a + b = 83 - - - (1)
2*a + 3*b = 203
2a + 3b = 203 - - - (2)
From (1) :
a + b = 83
a = 83 - b
Substitute a = 83 - b into (2)
2(83 - b) + 3b = 203
166 - 2b + 3b = 203
166 + b = 203
b = 203 - 166
b = 37
From;
a + b = 83
a = 83 - b
a = 83 - 37
a = 46
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