Advertisements
Advertisements
प्रश्न
Find the numbers such that the sum of thrice the first and the second is 142, and four times the first exceeds the second by 138.
उत्तर
Let the first number be x and the second number be y.
Then, we have:
3x + y = 142 ……….(i)
4x - y = 138 ………(ii)
On adding (i) and (ii), we get
7x = 280
⇒ x = 40
On substituting x = 40 in (i), we get:
3 × 40 + y = 142
⇒ y = (142 – 120) = 22
⇒ y = 22
Hence, the first number is 40 and the second number is 22.
APPEARS IN
संबंधित प्रश्न
A takes 6 days less than B to do a work. If both A and B working together can do it in 4 days, how many days will B take to finish it?
In the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it:
x - 2y - 8 = 0
5x - 10y - 10 = 0
Find the values of a and b for which the following system of equations has infinitely many solutions:
2x + 3y = 7
(a - 1)x + (a + 2)y = 3a
Solve for x and y:
71x + 37y = 253, 37x + 71y = 287
Solve for x and y:
`1/(2(x+2y)) + 5/(3(3x−2y)) = - 3/2, 1/(4(x+2y)) - 3/(5(3x−2y)) = 61/60` where x + 2y ≠ 0 and 3x – 2y ≠ 0.
The sum of two numbers is 1/6 and the sum of their reciprocals is `1/3`. Find the numbers.
A man invested an amount at 10% per annum simple interest and another amount at 10% per annum simple interest. He received an annual interest of Rs. 1350. But, if he had interchanged the amounts invested, he would have received Rs. 45 less. What amounts did he invest at different rates?
A train covered a certain distance at a uniform speed. If the train had been 5 kmph faster, it would have taken 3 hours less than the scheduled time. And, if the train were slower by 4 kmph, it would have taken 3 hours more than the scheduled time. Find the length of the journey.
The present age of a woman is 3 years more than three times the age of her daughter. Three years hence, the woman’s age will be 10 years more than twice the age of her daughter. Find their present ages.
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, where a1, b1, c1, a2, b2, c2 are all real numbers and a12+ b12 ≠ 0, a22 + b22 ≠ 0, is called a ______.
