Advertisements
Advertisements
Question
A man is thrice as old as his son. After 12 years, he will be twice as old as his son at that time. Find their present ages.
Solution
Let the present age of the son = x years
and the present age of the father = 3x years
After 12 years,
Son’s age will be (x + 12) years
and father’s age will be (3x + 12) years
According to the condition,
3x + 12 = 2 (x + 12)
3x + 12 = 2x+ 24
3x – 2x = 24 – 12
x = 12
∴Present age of the son = 12 years
and Present age of the father = 3×12 years
= 36 years
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
6(6x - 5) - 5(7x - 8) = 12(4 - x) + 1
Solve the following equation:
3p = 12
Solve the following equation:
`5/8 "n" = 20`
Solve the following equation:
2a – 3 =5
19x + 13 -12x + 3 = 23
6 – 5m – 1 + 3m = 0
Solve: `"x"/5 + "2x" = 33`
Solve: `"4x"/3 - "7x"/3 = 1`
Solve: `("x" + 4)/2 + "x"/3 = 7`
A number is 15 more than the other. The sum of of the two numbers is 195. Find the numbers.
Solve the following equations for the unknown: 15y - 20 = 2y + 6
Solve the following equations for the unknown: 5x + 10 - 4x + 6 = 12x + 20 - 3x + 12
Solve the following equation for the unknown: `(2"m")/(3) - "m"/(2)` = 1
Solve the following equations for the unknown: `(5)/x - 11 = (2)/x + 16, x ≠ 0`
Find the number which, when added to its half, gives 60.
In a shooting competition a marksman receives Rs. 50 if he hits the mark and pays Rs. 20 if he misses it. He tried Rs. 100 shots and was paid Rs. 100. How many times did he hit the mark?
A man sells an article and makes a profit of 6%. Had he bought the article at a price 4% less and sold at a price higher by Rs. 7.60, he would have made a profit of 12%. Find his cost price.
The breadth of a rectangular room is 2 m less than its length. If the perimeter of the room is 14m, find it's dimensions.
The perimeter of a rectangular field is 100m. If its length is decreased by 2m and breadth increased by 3 m, the area of the field is increased by 44m2. Find the dimensions of the field.
