Answer: The smaller integer is 12, while larger integer is 23
Step-by-step explanation:
The sum of two positive integer;
a + b = 35, when smaller integer is subtracted from twice the larger integer we have, 2a - b = 34 assuming b as the smaller integer, so your equation goes this way.
a + b = 35........(1)
2a - b = 34.......(2). To solve by elimination method add both equation. We have;
3a + 0 = 69
3a = 69, divide both sides by 3.
3a/3 = 69/3 so we have;
a = 23
To know the value of b, substitute 23 for the value of a in any of the equations, let's go with (1). From one we have;
a + b = 35 if a = 23 we have;
23 + b = 35
b = 35 - 23
b = 12.
Check: a + b = 35
23 + 12 = 35
35 = 35
The answer is correct.
