Question

A number is 6 more thantwo times another number.The
sum of two number is 24. find the numbers​

Answer 1

Answer:

let the first number be x and second be y

_________________

x =>2y +6. (eq1)

x+y =>24. (eq2)

putting the value if x in eq2

2y+6+y =>24

=>3y =>18

=>y=>6

________________

putting the value of y in eq1

x =>2y+6

x =>2(6)+6

=>12+6

=>18

x =>18

hope helps ❤

Answer 2

Given

A number is 6 more than two times another number.

The sum of two numbers =24

To find

The numbers

METHOD

$\sf \:let \:one \:number =x$

$\sf given \: another\: number\: is\: 6\: more \\ \sf twice \:the \:other \:number$

$\sf so \:the \:other \:number =2x+6$

$\huge{\sf sum =24}$

$x + 2x + 6 = 24$

$3x + 6 = 24$

$3x = 18$

$\boxed{ \sf x = 6}$

$\sf \: so \: the \: numbers \: are = >$

$\sf \: other \: number \: = 2x + 6 \\ \sf = 2(6) + 6 = 18$

$\huge \boxed{ \sf \: numbers \: = 6 \: and \: 18}$