The sum of two numbers is 144. Double the first number minus thrice the second number is equal to 63. Determine the first two numbers.

Name: Solved: The sum of two numbers is 144. Double the first number minus thrice the second number is equal to 63. Determine the first two numbers. - MathMaster
Brand: MathMaster
Rating: 4.9 (111 reviews)

111

likes

555 views

Answer to a math question The sum of two numbers is 144. Double the first number minus thrice the second number is equal to 63. Determine the first two numbers.

$Expert avatar$

Timmothy

4.8

99 Answers

Let x,y be the two numbers then, x+y=144 --(1) now, 2x-3y=63 --(2) from (1),x=144-y now substituting x value in eq(2) 2(144-y)-3y=63 288-2y-3y=63 288-5y=63 5y=288-63 5y=225 y=45 now finding x value, x=144-45 x=99 Therefore,the two numbers are 99,45

Frequently asked questions (FAQs)

Math question: In triangle ABC, if angle A measures 45 degrees, side a measures 10, and side b measures 8, find the length of side c using the Sine Law.

What is the range of the function f(x) = sin(x) + cos(x) over the domain x ∈ [-π/4, π/4]?

What is the variance of a data set containing 10 numbers: 7, 9, 12, 15, 18, 21, 24, 27, 30, 33?

New questions in Mathematics

Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps

431414-1*(11111-1)-4*(5*3)

the value of sin 178°58'

Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?

A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel unit, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

2x-y=5 x-y=4

Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2

7. Find the equation of the line passing through the points (−4,−2) 𝑎𝑛𝑑 (3,6), give the equation in the form 𝑎𝑥+𝑏𝑦+𝑐=0, where 𝑎,𝑏,𝑐 are whole numbers and 𝑎>0.