Advertisements
Advertisements
प्रश्न
The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers.
उत्तर
Let the smallest number = x
and the largest number = y
According to the condition,
y - x = 7 …(i)
and 6x + y = 77 ….(ii)
From eq. (i)
y = 7 + x …(iii)
Substitute the eq. (iii) in eq. (ii)
6x + 7 + x = 77
⇒ 7x = 77 - 7
⇒ x = `70/7 = 10`
Now, substitute the value of x in eq. (iii)
y = 7+ 10= 17
∴ The smallest number 10 and the largest number is 17.
APPEARS IN
संबंधित प्रश्न
Solve the following equation:
`("x"- 8)/5 = ("x" - 12)/9`
Solve the following equation:
14 = 27 - x
Solve the following equation:
`"y" + 5 = 8 1/4`
9 + m = 6m + 8 – m
0.4x – 1.2 = 0.3x + 0.6
Solve: `"3a"/4 + "a"/6 = 66`
Solve: y + 20% of y = 18
Solve: 15 – 2 (5 - 3x) = 4 (x - 3) + 13
Solve: `("2x" - 3)/3 - ("x" - 5) = "x"/3`
Solve the following equations for the unknown: `(7)/(x - 2) - (5)/(3)` = 3, x ≠ 2
Two complementary angles differ by 14°. Find the angles.
The sum of the squares of two consecutive odd natural numbers is 650. Find the two numbers.
In a two-digit number, the digit at the ten's place is 4 times the digit at the unit's place.The sum of the digits and the number is 92. Find the two digit number.
The distance between two places Bangalore and Hyderabad is 660 km. Anand starts from Bangalore with a certain uniform speed while Sonu starts from Hyderabad at the same time with a uniform speed that is 4km more than that of Anand. If they meet each other after 5 hours, find the speed of each.
The perimeter of a rectangular field is 80 m. If the breadth is increased by 2 m and the length is decreased by 2 m, the area of the field increases by 36 m2. Find the length and the breadth of the field.
A and B together can do a piece of work in 4 days, but A alone can do it in 12 days. How many days would B alone take to do the same piece of work?
A and B together can complete a piece of work in 4 days, but A alone can do it a in 12 days. How many days would B alone take to do the same work.
A tap can fill a tank in 12 hrs while another tap can fill the same tank in x hours. Both the taps if opened together fill the tank in 6 hrs and 40 minutes. Find the time the second tap will take to fill the tank.
How many kilograms of tea at Rs 50 per kg should be mixed with 35 kg of tea costing Rs 60 per kg so as to sell the mixture at Rs 57 per kg without gaining or losing anything in transaction?
