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The sum of the digits of a two digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.
Let the two digit number be= 10x + y.
When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double the remainder. If the remainder is 80 then the value of x is
Divisor = 4 × quotient = 80 × 2
∴ Divisor = 160
quotient = 40
∴ Number (x) = 160 × 40 + 80 = 6480
A boy was told to multiply a number with 50, but he multiplied it with 30 and in this way his answer is less than 400 by right answer. What was the number ?
Let the number is x
50x – 30x = 400
⇒ 20x = 400
⇒ x = 400/20 = 20
Of the three numbers, the sum of the first two is 45, the sum of the second and the third is 55 and the sum of the third and thrice the first is 90. the third number is:
Let the numbers are x, y, & z
x + y = 45 ⇒ y = 45 – x
y + z = 55 ⇒ z = 55 – y = 55 – 45 + x = 10 + x
3x + z = 90 ⇒ 3x + 10 + x = 90
⇒ x = 20
∴ Third number z = 30
A, B and C are Batsman. The ratio of the runs scored by them in a certain match are A : B = 5 : 7 and B : C = 4 : 9. In all they scored 333 runs. Find out the number of runs scored by B ?
Six years ago, the ratio of the ages of Karim and Samir was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Samir’s age at present?
Let ages of Karim and samir 6 years ago be 6x and 5x years respectively.
The , (6x + 6) + 4 = 11 (5x + 6) + 4
⇒ 10 (6x + 10) = 11(5x + 10)
⇒ 5x = 10
⇒ x = 2
Samir's present age = (5x + 6) = 16 years.
The average age of a wife and husband, who were married 10 years ago, was 20 years then. Including a child the present average age of the family is 23 years. What is the present age of the child?
10 year’s ago average age = 20 years
10 year’s ago total age = 20 × 2 = 40 years
To calculate their present total age, you should add 20 (10 for wife and 10 for husband) to the age of 10 years ago
⇒ 40 + 20 = 60 years (this is the present age of husband and wife) …(1)
According to the given data, present average age of the family of 3 members is = 23 years
So Total age of 3 members = 23 × 3 = 69 years. …(2)
But we know the present age of Husband and Wife = 60 years.
So from equations (1) and (2) we can get the present age of the child is = 9 years.
In the production of a car three types of costs are including cost of raw material, expenditure on labour and miscellaneous costs. Ratio of expenditure on these cost in a year is 5 : 4 : 3. In the next year cost of raw material increased by 20%, expenditure of labour increased by 10% and miscellaneous costs decreased by 1%. Find the percentage rise in the cost of car.
If x is 4 times of y, then by what percent y is less than that of x?
Let y = 100
So, x = 400
Difference = 400 – 100 = 300
Required percentage =
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