Question

ratio of mothers age to that of her daughter age is 7:2 if the sum of their age is 54 then the age if his mother is​

Answer 1

42years

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Answer 2

Question:-

ratio of mothers age to that of her daughter age is 7:2 if the sum of their age is 54 then the age if his mother is______.

Answer:-

• The age of mother is 42 years.

To find:-

• Age of mother

Solution:-

• Ratio = 7:2

Put x in the ratio,

• Age of mother = 7x
• Age of daughter = 2x
• Sum of ages = 54

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \: 7x + 2x = 54}$

$\large{ \tt : \implies \: \: \: \: \: \: \: 9x = 54}$

$\large{ \tt : \implies \: \: \: \: \: \: \: x = \frac{54}{9} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: x = 6}$

• The value of x is 9.

Now,

• Age of mother = 7x = 7×6 = 42 years
• Age of daughter = 2x = 2×6 = 12 years

Hence,

The age of mother is 42 years.