Advertisements
Advertisements
Question
The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.
Solution
Let the first number = x
and the second number = 7
According to the question, x + y = 405 ……..(i)
and the numbers are in the ratio 8 : 7
According to the question,
The sum of the two numbers is 405
Now, substitute the value of x in equation (i)
8x + 7x = 405
15x = 405
`x = 405/15`
x = 27
Hence, First number = 8x = 27 × 8 = 216
Second number = 7x = 27 × 7 = 189
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
20 = 6 + 2x
Solve the following equation:
`("x" - 1)/("7x" - 14) = ("x" - 3)/("7x" - 26)`
Solve the following equation:
`1/("x" - 1) - 1/"x" = 1/("x" + 3) - 1/("x" + 4)`
Solve: 0.25 + `1.95/"x" = 0.9`
Solve:
`5x − (4x + (5x - 4)/7) = (4x - 14)/3`
Six more than one-fourth of a number is two-fifth of the number. Find the number.
A rectangle’s length is 5 cm less than twice its width. If the length is decreased by 5 cm and width is increased by 2 cm; the perimeter of the resulting rectangle will be 74 cm. Find the length and width of the origi¬nal rectangle.
Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`
Solve the following inequation
6x – 7 ≥ 35, where x is an integer
Solve the following inequalities
6(x + 6) ≥ 5(x – 3), x is a whole number
