Question

present ages of nila and joy are in the ratio 2:3 five years from now the ratio of their age will be 5:7 find their present age

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Answer 1

${\huge{\fbox{\colorbox{hotpink}{\color{black}{\rm{ans}}}{\colorbox{black}{\color{hotpink}{wer :}}}}}}$

To Solve:

• present ages of nila and joy are in the ratio 2:3 five years from now the ratio of their age will be 5:7 find their present age

Given:

• Nila and joy's present age in 2:3
• 5 years later, ratio will be 5:7

Solⁿ:

• Taking in one variable x.

Nila and Joy = 2:3

= 2x and 3x

• 5 years later,

Ratio = 5:7

(2x +5) , (3x+ 5)

ATQ;

$\frac{2x + 5}{3x + 5} = \frac{5}{7} \\ \\ { \tt{ \red{ > \: cross \: multiply : }}} \\ \\ 7(2x + 5) = 5(3x + 5) \\ \\ 14x + 35 = 15x + 25 \\ \\ 35 - 25 = 15x - 14x \\ \\{ \boxed{ \red{ 10 = x}}} \\ \\ { \tt{ \green{present \: ages:}}} \\ \\ { \sf{ \blue{nila \: = 2x }}} \\{ \sf{ 2(10)= { \boxed{20}}}} \\ \\ { \sf{ \pink{joy \: = 3x }}} \\{ \sf{3x = 3(10) = { \boxed{30}}}}$

HOPE IT HELPS

MARK BRAINLIEST PLS :)