Question

The sum of two numbers is 144. Double the first number minus thrice the second number is equal to 63. Determine the first two numbers.

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Timmothy

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45 Answers

Let x,y be the two numbers
then, x+y=144 --(1)
now, 2x-3y=63 --(2)
from (1),x=144-y
now substituting x value in eq(2)
2(144-y)-3y=63
288-2y-3y=63
288-5y=63
5y=288-63
5y=225
y=45
now finding x value,
x=144-45
x=99
Therefore,the two numbers are 99,45

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