Advertisements
Advertisements
Question
My younger sister's age today is 3 times, what it will be 3 years from now minus 3 times what her age was 3 years ago. Find her present age.
Advertisements
Solution
Let the age of my younger sister be x yr.
Then, her age after 3 yr = (x + 3) yr
Also, her age 3 yr ago = (x – 3) yr
It is given that her present age is 3 times her age after 3 yr minus 3 times her age 3 yr ago
Therefore, we obtain the following equation
x = 3(x + 3) – 3(x – 3)
⇒ 3x + 9 – 3x + 9 ...[Using the distribute property]
⇒ x = 18 yr
Hence, her present age is 18 yr.
APPEARS IN
RELATED QUESTIONS
Set up equation and solve them to find the unknown number in the following case:
Anwar thinks of a number. If he takes away 7 from `5/2` of the number, the result is 23.
People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?
The sum of two numbers is 60 and their difference is 30.
The equation formed is ______.
Sum of two numbers is 81. One is twice the other.
The equation formed is ______.
If 5 is added to three times a number, it becomes the same as 7 is subtracted from four times the same number. This fact can be represented as ______.
If 1 is subtracted from a number and the difference is multiplied by `1/2`, the result is 7.
The interest received by Karim is ₹ 30 more than that of Ramesh. If the total interest received by them is ₹ 70, find the interest received by Ramesh.
The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.
The perimeter of a rectangle is 40 m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.
The sum of two consecutive multiples of 2 is 18. Find the numbers.
