sum of 2 nos is 74 . If one of them is more than the other , what are the nos ?
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A + B = 74 [the sum of two numbers is 74.]
B - 3A = 18 [If three times the smaller number is subtracted from the larger number the result is 18.]
Use the first equation to express A in terms of B by subtracting B from both sides:
A + B = 74 becomes A = 74 - B
Substitute that for A in the second equation:
B - 3(74 - B) = 18
Multiply out:
B - 222 + 3B = 18
Simplify and add 222 to both sides:
4B = 240
Divide both sides by 4:
B = 240 / 4 = 60
The larger number is 60 and the smaller
B - 3A = 18 [If three times the smaller number is subtracted from the larger number the result is 18.]
Use the first equation to express A in terms of B by subtracting B from both sides:
A + B = 74 becomes A = 74 - B
Substitute that for A in the second equation:
B - 3(74 - B) = 18
Multiply out:
B - 222 + 3B = 18
Simplify and add 222 to both sides:
4B = 240
Divide both sides by 4:
B = 240 / 4 = 60
The larger number is 60 and the smaller
MVB:
The smaller no is 14
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