Question

One number is thrice the other number, their sum is 24.

what is the equation ?

a) X + ~ = 8 (b) x +3x = 24, (c) 3 x - x = 24,

3

d) 2 x + 6 x = 24​

Answer 1

Answer:

x + 3 = 0

L.H.S. = x + 3

By putting x = 3,

L.H.S. = 3 + 3 = 6 ≠ R.H.S.

∴ No, the equation is not satisfied.

(ii) x + 3 = 0

L.H.S. = x + 3

By putting x = 0,

L.H.S. = 0 + 3 = 3 ≠ R.H.S.

∴ No, the equation is not satisfied.

(iii) x + 3 = 0

L.H.S. = x + 3

By putting x = −3,

L.H.S. = − 3 + 3 = 0 = R.H.S.

∴ Yes, the equation is satisfied.

(iv) x − 7 = 1

L.H.S. = x − 7

By putting x = 7,

L.H.S. = 7 − 7 = 0 ≠ R.H.S.

∴ No, the equation is not satisfied.

Answer 2

$\green{\large \mathfrak{Solution:-}}$

$\red{Let \: 1st \: number \: be \: x }\\ \blue{Let \: 2nd\: number \: be \: 3x }$

$\pink{ \mathbb{BY \: THE \: PROBLEM:-}}$

$\blue{x + 3x = 24}$

$\mathfrak{Answer:-}$

$\fbox\orange{x + 3x = 24}$