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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

$4, 5$

Vedclass · Answer

(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.

Similar Questions

If $x = -2$ and $\frac{4}{x} + \frac{3}{y} = 1$,then $y = \dots$

Solve the following pair of linear equations: $\frac{25}{x+y} - \frac{7}{x-y} = -2$ and $\frac{15}{x+y} - \frac{7}{x-y} = -4$.

The pair of equations $5x - y = 9$ and $10x - 18 = 2y$ is $\ldots \ldots \ldots \ldots$

The numerator of a fraction is $4$ less than the denominator. If the numerator is decreased by $2$ and the denominator is increased by $1,$ then the denominator becomes eight times the numerator. Find the fraction.

By the method of substitution,solve the following pair of linear equations: $3x - 7y = 18, 6x - 14y = 12$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module