Si el duplo del mayor de dos numeros se divide entre el el triplo del menor, el cocient es 1 y el residuo 3, y si 8 veces el menor se divide por el mayor, el cociente es 5 y el residuo 1

The greater number (x) = 27

The smaller number (y) = 17

Question:

If the double of the greater of 2 numbers is divided by the triple of the smaller, the quotient is 1 and the remainder 3 and if 8 times the smaller is divided by the greater, the quotient is 5 and the remainder 1. find the numbers.

Step-by-step explanation:

Let x be the greater number

y be the smaller number.

Equation 1: If the double of the greater of 2 numbers is divided by the triple of the smaller, the quotient is 1 and the remainder 3

Equation 2: if 8 times the smaller is divided by the greater, the quotient is 5 and the remainder 1

Find attached the solution of the question.

From the solution,

The greater number (x) = 27

The smaller number (y) = 17

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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step-by-step explanation: