Question

The ratio of the present ages of Asha and Lata is 5 : 6. If the difference between their ages is 6 years, then what will be Lata’s age will be after 5 years?
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Answer 1

35 years

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Step-by-step explanation:

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Answer 2

Given :-

• We have been given that present ages of Asha and Lata are given in Ratio 5:6
• Difference given between their ages is 6 years

To Find :-

• We have to find Lata's age after 5 years

How To Solve :-

• Write the given ages in form of an unknown variable x
• Apply the given conditions in the Question and form Equations
• Simplify the equation so formed , and find the value of variable
• Put the value of variable in the given ages

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Solution :

We have been given that Asha and Lata age are in Ratio 5:6

● Let Asha age be = 5x

● Lata's age be = 6x

According to the Question :

The difference given between the ages is 6 years

$\longrightarrow \boxed{\sf{Difference \: of \: Ages = 6 }}$

$\longrightarrow \sf{6x - 5x = 6}$

$\longrightarrow \sf{x = 6}$

Hence, the value of x comes out to be 6

Putting the value of x in their ages :

Asha age $\sf{ = 5x = 5 \times 6 = 30 \: years }$

Lata age $\sf{ = 6x = 6 \times 6 = 36 \: years }$

Hence , the present ages of Asha and Lata are 30 and 36 respectively

Lata age after 5 Years = 36 + 5 = 41

$\underline{\boxed{\sf{\blue{Lata \: age \: after \: 5 \: years = 41 \: Years }} }}$

Verification :-

$\sf{● \: Ratio = \dfrac{30}{36} = \dfrac{5}{6}}$

Ratio of ages comes out to be 3:2

$\sf{● \: Difference = 45 - 30= 15}$

Difference of two numbers is 15

$\large{\boxed{\gray{\bf{Hence \: Verified}}}} \: \: \: ✓$