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Standard XII

Mathematics

Definition of Functions

'x' as the va...

Question

'x' as the variable and translate each of the following
(i) The sum of two consecutive numbers is 21.
(ii) Twice a number subtracted from 10 gives 2.
(iii) One-eight of a number added to 6 gives 8.

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Solution

$(i) (x + 1) + (x + 2) = 21$
$2 x + 3 = 21$
$2 x = 18$
$x = 9$

(ii)
$2 x - 10 = 2$
$x = 12 / 2$
$x = 6$

$(i i i) \frac{x}{8} + 6 = 8$
$x = 2 \times 8 = 16$

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'x' as the variable and translate each of the following (i) The sum of two consecutive numbers is 21.(ii) Twice a number subtracted from 10 gives 2.(iii) One-eight of a number added to 6 gives 8.

(i)(x+1)+(x+2)=21 2x+3=212x=18x=9(ii) 2x−10=2x=12/2x=6(iii)x8+6=8x=2×8=16

'x' as the variable and translate each of the following
(i) The sum of two consecutive numbers is 21.
(ii) Twice a number subtracted from 10 gives 2.
(iii) One-eight of a number added to 6 gives 8.

$(i) (x + 1) + (x + 2) = 21$
$2 x + 3 = 21$
$2 x = 18$
$x = 9$

(ii)
$2 x - 10 = 2$
$x = 12 / 2$
$x = 6$

$(i i i) \frac{x}{8} + 6 = 8$
$x = 2 \times 8 = 16$