Question

the age of tany and dazzy in the ratio 5: 9 8 years later there. sun will be 86 years what is their present age ​

Answer 1

Correct Question :-

• The age of Tany and Dazzy are in the ratio 5: 9. 8 years later, their sum of ages will be 86 years.What is their present age?

Given :

• Ratio of the present ages of Tany and Dazzy = 5:9
• 8 years later, their sum of ages will be 86 years.

To Find :

• The present ages of Tany and Dazzy.

Solution :-

Let the present ages of Tany and Dazzy be 5x years and 9x years.

8 years later ,

• The age of Tany = (5x+8) years
• The age of Dazzy = (9x+8) years

According to question,

$: \implies{\sf{(5x+8)+(9x+8)=86}} \\ \\ : \implies{ \sf{5x+8+9x+8 =86 }} \\ \\ : \implies{ \sf{14x+16= 86}} \\ \\ : \implies{ \sf{14x= 86-16}} \\ \\ :\implies{ \sf{14x= 70}} \\ \\ : \implies{ \sf{x = \frac{70}{14}}} \\ \\ : \implies{ \boxed {\tt{x = 5}}}$

$\bf {\underline{\therefore {The\: present \:age\: of\:Tany\:is\:(5\times 5)\:years= 25\:years.}}}$

$\bf {\underline{\therefore {The\: present \:age\: of\:Dazzy\:is\:(9\times 5)\:years= 45\:years.}}}$

$\rule {77}{1}$

Verification :

Substituting the value of x :

$: \implies{\sf{(5x+8)+(9x+8)=86}} \\ \\ : \implies{ \sf{(5\times 5+8)+(9\times 5+8) =86 }} \\ \\ : \implies{ \sf{(25+8)+(45+8)= 86}} \\ \\ : \implies{ \sf{33+53= 86}}\\ \\ : \implies{ \sf{86= 86}} \\ \\ : \implies{ \boxed {\tt{LHS=RHS }}}$

$\bf {\underline{\therefore {Verified.}}}$

Answer 2

Given :

• Age of Tany and Dazzy are in the ratio of 5:9
• 8 years later thier sum of the age will be 86 years.

To find :

• Thier present age

According to the question,

Let the ratio be 5x and 9x

8 years later,

Age of Tany will be 5x + 8

Age of Dazzy will be 9x + 8

So,the equation will be :-

→ 5x + 8 + 9x + 8 = 86

→ 14x + 16 = 86

→ 14x = 86 - 16

→ 14x = 70

→ x = 70 ÷ 14

.°. x = 5

__________...

Value of 5x

→ 5x

→ 5 × 5

→ 25 years

_________....

Value of 9x

→ 9x

→ 9 × 5

→ 45 years

So,the age of Tany is 25 years &

Age of Dazzy is 45 years...

______....

Verification :

→ 5x + 8 + 9x + 8 = 86

→ 14x + 16 = 86

Putting the value of x

→ 14 × 5 + 16 = 86

→ 70 + 16 = 86

→ 86 = 86

.°. L.H.S = R.H.S

Hence,Verified....