My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was

16 years ago,
My age = x years
My grandfather’s age = 9x years
After 8 years from the present,
9x + 16 + 8 = 3(x + 8 + 16)
$\Rightarrow$  9x + 24 = 3x + 24 + 48
$\Rightarrow$  9x + 24 = 3x + 72
$\Rightarrow$  9x – 3x = 72 – 24

$\Rightarrow$ 6x = 48

$\Rightarrow$ x= 8

Required ratio 8 years ago,
= (x + 8) : (9x + 8)
= (8 + 8) : (9 × 8 + 8)
= 16 : 80 = 1 : 5

• A @ B means `A is not smaller than B? A # B means ?A is neither smaller than nor equal to B? A % B means ?A is neither smaller than nor greater than B? A $ B means ?A is not greater than B? A * B means ?A is neither greater than nor equal to B?
• In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy, the same elements are in the ratio 2 : 3. If these two alloys be mixed to form a new alloy in which two elements are in the ratio 5:8, the ratio of these two alloys in the new allow
• Directions: In a family of eight members, there are two married couples and a widow. B, an engineer is married to a doctor. D, an architect is the wife of C. F, a student is the only child of D. H is the son of G and his sister E is the niece of the manag
• Two types of rice (type 1 and type 2) were mixed in the respective ratio of 1 : 3. The mixture was then sold @ 75.60 per kg to gain a profit of 20%. If the price of type 1 rice is Rs. 75 per kg, what is the price of type 2 price per kg?
• Directions: In a family of eight members, there are two married couples and a widow. B, an engineer is married to a doctor. D, an architect is the wife of C. F, a student is the only child of D. H is the son of G and his sister E is the niece of the manag