Question

A grand mother is twelve times her grand daughter’s age.The difference between
their ages is 44.Find their present ages.
please help
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Given:-

A grand mother is twelve times her grand daughter's age. The difference between their ages is 44. Find their present ages.

To Find:-

Grand mother and Grand daughter's present ages.

Note:-

●》Here question tells that, Grand mother age - Grand daughter's age = 44. From this, we can find the grand mother and daughter's age by taking some value and also by transposing.

●》Transposing - For finding unknown value, known value needs to be transposed from its side to another and also signs are changed. For example - Multiple becomes Divisional.

Solution:-

$\huge\red{Let \ \ the \ \ Grand \ \ daughter's \ \ age = x}$

$\huge\red{So, Grand \ \ mother \ \ age = 12 × x => 12x}$

$\huge\red{ \ \ \ \ Their \ \ present \ \ ages = ?}$

☆ According to note first point~

▪︎$Grand \ \ mother \ \ age - Grand \ \ daughter's \ \ age = 44$

▪︎$12x - x = 44$

▪︎$11x = 44$

☆ According to note second point ( Transposing )~

▪︎$x = \dfrac{44}{11}$

☆ After dividing~

▪︎$x = 4$

$\huge\pink{Grand \ \ mother \ \ age = 12x = 12 × 4 => 48}$

$\huge\pink{Grand \ \ daughter's \ \ age = x => 4}$

Checking:-

♤ Let's check that "Grand mother age" - "Grand daughter's age" = "44" or not.

• $Grand \ \ mother \ \ age - Grand \ \ daughter's \ \ age = 44 \implies ?$

• $48 - 4 = 44 \implies ?$

• $44 = 44 \implies ✔$

$\huge\green{Hence, Proved : Grand \ \ mother \ \ age = 48}$

$\huge\green{ \ \ \ \ \ \ \ \ \ Grand \ \ daughter's \ \ age = 4}$

Answer:-

Hence, the Grand mother age = 48 years.

Grand daughter's age = 4 years.

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