Question

When x is added to each term of 7 : 13 the ratio becomes 2 : 3. The value of x is?

Answer 1

Answer: 5

Step-by-step explanation:

7 : 13.... 'X' added.... becomes 2:3

7+X/13+X = 2/3

3*(7 + X) = 2*(13 + X)

21 + 3X = 26 + 2X

3X - 2X = 26 - 21

X = 5

Answer 2

${\red{\huge{\bold{\underline{\underline{Questions:-}}}}}}$

• $\large\mathrm{When \: x \: is \: added \: to \: each \: term \: of \: 7 : 13 \: the \: ratio \: becomes \: 2 : 3. \: The \: value \: of \: x \: is?}$

$\large\underline\mathrm\red{Given:-}$

• $\large\mathrm{By \: adding \: x \: to \: the \: ratio \: 7 : 3 \: then, \: It \: becomes \: 2 : 3.}$

$\large\underline\mathrm\red{To \: find}$

• $\large\mathrm{The \: value \: of \: x = \: ?}$

$\large\underline\mathrm\red{Solution}$

$\large\mathrm{≫ By \: conditions}$

$\large\mathrm{⟹ 7 + x / 13 + x = 2/3}$

$\large\underline\mathrm\red{Now, \: by \: cross \: multiplating \: in \: both \: sides \: we \: get}$

$\large\mathrm{⟹ 21 + 3x = 26 + 2x}$

$\large\mathrm{⟹ 3x - 2x = 26 - 21}$

$\large\mathrm{⟹ x = 5}$

$\large\underline\mathrm{Hence, \: The \: value \: of \: x \: is \: 5.}$