Question

If Vir and veer ages are in ratio of 12:24 and the sum of their ages is 64, what are their ages?
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Answer 1

Answer:

Their ages are equal

Step-by-step explanation:

Their ages is 32

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Answer 2

$\sf \green { \underline { \sf ✯Given :- }}$

• Vir's age and veer's age are in the ratio 12:24 respectively.
• The sum of their age is 64.

$\sf \pink { \underline { \sf ✯To \: find :- }}$

• Their ages ( vir's and veer's)

$\sf \purple { \underline { \sf ✯Solution :- }}$

• Here, we have to assume that the age of vir and veer is 12x and 24x respectively.

According to the question,

$\bf \implies \: 12x + 24x = 64 \\ \bf \implies36x \: = 64 \\ \bf \implies \: x = \frac{ \cancel{64}}{ \cancel{36}} \\ \bf \therefore{\pink \bigstar {\underline {\boxed {\bf {\blue { x = \frac{16}{9}}}}}}}{\pink \bigstar}$

$\bf \therefore \: Vir's \: age \: is \: {\underline{\boxed{\bf 12x \: = 12 \times \frac{16}{9} = \frac{64}{3}years\:\:\: ☞ \:\: ans.}}} \\ \bf \therefore \: Veer's \: age \: is \:{\underline{\boxed{\bf 24x = 24 \times \frac{16}{9} = \frac{128}{3}years \:\:\: ☞ \:\: ans.}}}$

$\sf \blue { \underline { \sf ✯Verification :- }}$

• As it is told in the question that sum of their age is 64 years.
• So, we need to verify the that whether L.H.S(vir's age) = R.H.S (veer's age).

$\bf \therefore { \frac{64}{3} + \frac{128}{3} = 64.}\\ \bf \implies { \frac{64 + 128 }{3}} = 64. \\ \bf \implies {\cancel{ \frac{192}{3}}} = 64. \\ \bf \implies { 64 = 64. }$

$\bf \therefore{\boxed{\fcolorbox {purple}{orange} {L.H.S = R.H.S }}}$

$\bf { \underline{\boxed{ \green{ \bf ✧ Hence, \purple V \red e \orange r \pink i \blue f \green i \red e \pink d }}}}$