The difference between the age of two cousins is 10 years.15 years ago,if the elder one was twice as old as the younger one,fund their present age
Superb
x and (x+10)
(x+10) - 15 = 2 (x-15)
x - 5 = 2 x - 30
x - 25 = 0
x = 25
x+10 = 35
Let's assume the present age of the younger cousin is "x" years.
According to the given information, the age of the elder cousin is 10 years more than the younger cousin's age. Therefore, the present age of the elder cousin can be expressed as "x + 10" years.
15 years ago, the age of the younger cousin was "x - 15" years, and the age of the elder cousin was "x + 10 - 15" years, which is "x - 5" years.
According to the given condition, 15 years ago, the elder cousin was twice as old as the younger cousin. So we can write the equation:
x - 5 = 2(x - 15)
Solving this equation will give us the value of "x", which represents the present age of the younger cousin:
x - 5 = 2x - 30
Subtracting "x" from both sides:
-5 = x - 30
Adding 30 to both sides:
25 = x
Therefore, the present age of the younger cousin is 25 years.
To find the present age of the elder cousin, we substitute the value of "x" into the expression "x + 10":
25 + 10 = 35
Hence, the present age of the elder cousin is 35 years.
To find the present age of the two cousins, we'll start by assigning variables.
Let's say the present age of the younger cousin is "x" years.
The age of the elder cousin would then be "x + 10" years, since the difference in their ages is 10 years.
Now, let's use the information given about their ages 15 years ago:
15 years ago, the age of the younger cousin would have been (x - 15) years,
and the age of the elder cousin would have been (x + 10 - 15) years, which simplifies to (x - 5) years.
The problem states that 15 years ago, the elder cousin was twice as old as the younger cousin. So, we can set up the equation:
(x - 5) = 2 * (x - 15)
Now, let's solve the equation to find the value of "x":
x - 5 = 2x - 30 (distribute the 2)
x - 2x = -30 + 5 (subtract "x" from both sides)
-x = -25 (simplify)
x = 25 (multiply both sides by -1 and simplify)
The present age of the younger cousin is 25 years, and the age of the elder cousin is 25 + 10 = 35 years.