The sum of two numbers is 21.two-thirfs of the other number to give 15.find the two numbers showing clearly your working

Muhammad Hassan

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In mathematics, it is possible to solve equations involving multiple unknowns. For instance, if the sum of two numbers is given as 21 and two-thirds of the other number equals 15, we can find the two numbers using algebraic techniques. Let's assign variables to these numbers. Let x represent the first number and y represent the second number. According to the problem, the sum of these numbers is 21, which can be written as: x + y = 21 Additionally, two-thirds of the other number (y) equals 15. This equation can be expressed as: (2/3)y = 15 To solve these equations, we can either use substitution or elimination. Let's use elimination in this case. Multiplying both sides of the second equation by 3/2 to eliminate the fraction, we get: (2/3)y * (3/2) = 15 * (3/2) y = 22.5 Now, substituting the value of y (22.5) in the first equation: x + 22.5 = 21 x = 21 - 22.5 x = -1.5 Therefore, the two numbers are -1.5 and 22.5.