Question

28. The ratio of the age of grandmother and granddaughter is 5:2. If the sum of their ages is 98, find their ages.​

Answer 1

Answer:

Method 1

Let grandmother's age be 5x

granddaughter's age be 2x

Sum of ages= 98

According to question

5x+2x=98

7x=98

x=98/7

x=14

grandmother's age=5x

5(14)

70 years

granddaughter's age=2x

2(14)

28 years

Answer 2

S O L U T I O N :

$\underline{\bf{Given\::}}$

The ratio of the age of grandmother & granddaughter is 5:2. If the sum of their ages is 98 .

$\underline{\bf{Explanation\::}}$

Let the present age of grandmother be 5x years & let the present age of granddaughter be 2x years.

A/q

$\longrightarrow\tt{(Grandmother's \:age ) + (Granddaughter's\:age) = 98}$

$\longrightarrow\tt{5x + 2x = 98}$

$\longrightarrow\tt{7x= 98}$

$\longrightarrow\tt{x=98/7}$

$\longrightarrow\tt{x=\cancel{98/7}}$

$\longrightarrow\bf{x=14\:years}$

Thus,

The age of Grandmother = 5x = 5 × 14 = 70 years .

The age of Granddaughter = 2x = 2 × 14 = 28 years .