The age of my father is equal to sum of m… | Answer

Subject

Quantitative Aptitude

Topic

Algebra

The age of my father is equal to sum of my mother’s age and my age. When I was born, the ratio of ages of my mother and father was 5 : 6. After 8 years, the ratio of my age and my mother’s age will be 3 : 8. What was my mother’s age when I was 2 years old?
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ক)

22 years

খ)

26 years

গ)

24 years

ঘ)

32 years

ঙ)

30 years

Explanation

Let my age be M years and my mother’s age be N years. ⇒ Age of my father = (M + N) years When I was born, the ratio of ages of my mother and father was 5 : 6. I was born M years back. ⇒ (N - M)/(M + N - M) = 5/6 ⇒ 6N - 6M = 5N ⇒ N = 6M After 8 years, the ratio of my age and my mother’s age will be 3 : 8. ⇒ (M + 8)/(N + 8) = 3/8 ⇒ 8M + 64 = 3N + 24 Put N = 6M ⇒ 8M + 40 = 18M ⇒ M = 40/10 = 4 ⇒ N = 6M = 6 × 4 = 24 Mother’s age = 24 years ∴ I am 4 years old. When I was 2 years old, it would be 2 years back from now, my mother’s age was 22 years.

\frac{a}{3} = \frac{b}{4} = \frac{c}{7}

then what would be the value of

\frac{{a + b + c}}{a}

?Multiplication and difference of two numbers are 93 and 28 respectively. Find the difference of reciprocals of the numbers.if

{P^2} + {1 \over {{P^2}}} = 7

, then find the value of

{P^2} - {1 \over {{P^2}}}.

In following question, two equations are given, you have to solve them and choose the correct option: x2– 3x – 4 = 0, y2– 4 = 0 In following question, two equations are given, you have to solve them and chose the correct option: x2+ 11x + 30 = 0, y2+ 7y + 12 = 0 In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘l’ and ‘m’ and mark correct answer. I. (125)1/3l – (1331)1/3= 4 × (729)1/6+ (1024)1/10II. (m)2– (15625)1/3= 0 Direction: In the following question two equations numbered I and II are given. You have to solve both the equations and give answers:I: x - √121 = 0 II: y2- 121 = 0 The number of solutions of x2+ 4|x| + 5 = 0 is

The age of my father is equal to sum of my mother’s age and my age. When I was born, the ratio of ages of my mother and father was 5 : 6. After 8 years, the ratio of my age and my mother’s age will be 3 : 8. What was my mother’s age when I was 2 years old?Reading

The age of my father is equal to sum of my mother’s age and my age. When I was born, the ratio of ages of my mother and father was 5 : 6. After 8 years, the ratio of my age and my mother’s age will be 3 : 8. What was my mother’s age when I was 2 years old?

Explanation

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The age of my father is equal to sum of my mother’s age and my age. When I was born, the ratio of ages of my mother and father was 5 : 6. After 8 years, the ratio of my age and my mother’s age will be 3 : 8. What was my mother’s age when I was 2 years old?
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