The number of boys and girls in a class are in the ratio 5 : 4. If the number of boys is 9 more than the number of girls, then number of boys is 9.
False
Let the number of boys be 5x and the number of girls be 4x.
According to the question, – 5x – 4x = 9 => x = 9
Hence, number of boys = 5 x 9 = 45
The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3 :2. Find their present ages.
Sum of the digits of a two-digit number is 11. The given number is less than the number obtained by interchanging the digits by 9. Find the number.
In questions 16 to 32, fill in the blanks to make each statement true.
Question. 16 In a linear equation, the——— power of the variable appearing in the equation is one.
Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years, then her mother’s age before 5 years is (60 – y) years.
If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93 – x.
A steamer goes downstream and covers the distance between two ports in 5 hours, while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/h, then find the speed of the steamer in still water.
Any value of the variable, which makes both sides of an equation equal, is known as a———–of the equation.
Rs 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs 1000 more than Kiran and Jenifer gets Rs 500 more than Kiran. Find the money received by Jenifer.
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
Two equal sides of a triangle are each 4 m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55 m.
Denominator of a number is 4 less than its numerator. If 6 is added to the numerator, it becomes thrice the denominator. Find the fraction.
The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.
A carpenter charged Rs 2500 for making a bed. The cost of materials used is Rs 1100 and the labour charge is Rs 200 per hour. For how many hours did the carpenter work?
Two numbers differ by 40. When each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 – x).
The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3 :2. Find their present ages.
If a and b are positive integers, then the solution of the equation ax = b has to be always
(a) positive (b) negative (c) one (d) zero
15 The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.(a) 112 (b) 126 (c) 119 (d) 116
The share of A when Rs 25 are divided between A and B, so that A gets Rs 8 more than B, is——–.
When 9 is subtracted from the product of p and 4, the result is 11. The value of p is—-.
When 9 is subtracted from the product of p and 4, the result is 11. The value of p is—-.
Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years, Reemu’s age will be 15p years.
In a 2-digit number, the unit’s place digit is x. If the sum of digits be 9, then the number is (10x – 9).
y = –
then y is equal to![-{ left[ frac { 3 }{ 4 }
ight] }^{ 2 }](http://s0.wp.com/latex.php?latex=-%7B+%5Cleft%5B+%5Cfrac+%7B+3+%7D%7B+4+%7D+%5Cright%5D+%7D%5E%7B+2+%7D&bg=ffffff&fg=000&s=0 "-{ left[ frac { 3 }{ 4 }
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(b)![-{ left[ frac { 4 }{ 3 }
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![{ left[ frac { 3 }{ 4 }
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(d)![{ left[ frac { 4 }{ 3 }
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+1 (b) y + 
x-2=5-
x,then x=——-.
+ 30 = 18 has the solution as——–.
, then x=
.