The difference of two numbers is 29. If five times the smaller number is twice the larger, the result will be one. What is the larger number ?
Please help.. I need an answer in 10 days. Thank you, much appreciations.
a , b
b - a = 29
5 a = 2 b
what result is one? Makes no sense. Ignoring that.
5 a = 2 (a+29)
3 a = 87
a = 87/3
To solve this problem, we can set up two equations based on the given information.
Let's call the smaller number "x" and the larger number "y".
From the first statement, "the difference of two numbers is 29," we can write:
y - x = 29 (equation 1)
From the second statement, "five times the smaller number is twice the larger," we can write:
5x = 2y (equation 2)
To find the solution, we need to solve these two equations simultaneously.
Now, let's solve equation 1 for y:
y = x + 29
Substitute this value of y into equation 2:
5x = 2(x + 29)
Simplify the equation:
5x = 2x + 58
Subtract 2x from both sides:
3x = 58
Divide both sides by 3:
x = 58/3
x ≈ 19.333
Now, substitute this value of x back into equation 1 to find y:
y = x + 29
y = 19.333 + 29
y ≈ 48.333
Therefore, the larger number is approximately 48.333.
Please note that the answer is an approximation since x is not a whole number.