The sum of two numbers is 9. The difference o | vedclass

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(A) Let the two numbers be $x$ and $y$.According to the problem,the sum of the numbers is $9$,so $x + y = 9$ (Equation $1$).The difference of five tim

Vedclass · Accepted Answer

$4, 5$

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(A) Let the two numbers be $x$ and $y$.According to the problem,the sum of the numbers is $9$,so $x + y = 9$ (Equation $1$).The difference of five times the first number and thrice the other number is $5$,so $5x - 3y = 5$ (Equation $2$).From Equation $1$,we get $y = 9 - x$.Substitute this into Equation $2$: $5x - 3(9 - x) = 5$.$5x - 27 + 3x = 5$.$8x = 32$.$x = 4$.Now,substitute $x = 4$ into $y = 9 - x$: $y = 9 - 4 = 5$.Thus,the numbers are $4$ and $5$.

The sum of two numbers is $9$. The difference of five times the first number and thrice the other number is $5$. Find the numbers.

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