Question

(ii) One number is 8 more than the other number. If the greater number is thrice
of half of the smaller number, the two numbers are
(a) 12,4 (6) 32, 24
(c) 20, 12 (d) 24, 16
fumbononditionnel L
.
TC1
109 11​

Answer 1

Answer:

$\huge\boxed{\fcolorbox{red}{cyan}{I found this just for you}}$

first no. = x = 16

Second no. = x + 8 = 24

Equation formed :

x+8 = ( x ÷ 2) *3

(x +8) / 3 = x/2

2(x + 8) = 3x

2x + 16= 3x

3x - 2x = 16

x = 16

Hope it helps you !

Mark me the brainliest !!

Answer 2

Answer:

Let the greater number be a.

Let the smaller number be b.

we know ,

A.T.Q,

a= b + 8 - equation 1

it is also said that,

a= 3 × b / 2

=) b+ 8 = 3 × b/ 2 (things equal to the same thing are equal to each other)

=) 2 (b + 8) = 3b ( transposing 2 from L.H.S to R.H.S )

=) 2b + 16 = 3b

=) 16 = 3b- 2b ( transposing 2b from L.H.S to R.H.S)

=) b= 16

therefore the smaller number is 16

we know ,

a = b+ 8

=) a = 16 + 8 ( substituting value of b in equation 1 )

=) a = 24

therefore the greater number is 24

therefore the numbers are 24 and 16

therefore, option "d" is the correct answer of the question.....

please mark my answer as the brainliest answer....