Question

Find two numbers such that if 7 is added to the greater, the answer is four times the smaller number while 28 is added to the smaller number is equal to twice the greater number​

Answer 1

Resposta:

The numbers are 17 and 6.

Explicação passo-a-passo:

Two numbers x and y with x>y

"Find two numbers such that if 7 is added to the greater,..." => 7+x

"... the answer is four times the smaller number" => 7+x=4y => -x+4y=7 (I)

"... while 28 is added to the smaller number..." => 28+y

"... is equal to twice the greater number​" => 28+y=2x => 2x-y=28 (II)

2×(I)+(II)

-2x+2x+8y-y=14+28

7y=42

y=42/7

y=6

For y=6 in (I)

-x+4.(6)=7

x=24-7

x=17