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Alfred and rani both picked different two-digit numbers. If you multiply alfred’s number by 5 and double rani’s number, the sum is 300. If you double alfred’s number and multiply rani’s number by 3, the sum of the two numbers is 252. What is the sum of their two numbers?.

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The sum of their two numbers is 96.

What is linear equation ?

If a variable's highest power is constantly 1, an equation is said to be linear. A one-degree equation is another name for it. Usually, a one-variable linear equation has the form Ax + B = 0. The variables x and A are variables in this scenario, whereas the variable B is a constant

Calculation

Let Alfred take x and Rani take y.

As per given question,

5x+2y=300.......(1)

2x+3y=252......(2)

On multiplying (1) with 3 and equation (2) with 2, we get

15x+6y=900

→4x+6y=504

On subtracting both, we get

15x+6y=900

4x+6y=504

______________________

11x=396

⇒x=36

Putting x=36 in (1), we get

5×36+2y=300

⇒2y=300−180

⇒2y=120

⇒y=60

Sum of two numbers is 60+36=96.

learn more about linear equation here :

brainly.com/question/11897796

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