Start learning 50% faster. Sign in now
ATQ, Let, the two numbers be 'm' and 'n', such that, 'm > 'n'. ATQ, m 2 + n2 = 1600 And, m × n = 768 We know that, (a + b)2 = a2 + b2 + 2ab, and, (a - b)2 = a2 + b2- 2ab So, (m + n)2 = 1600 + 2 × 768 Or, (m + n)2 = 1600 + 1536 Or, (m + n)2 = 3136 Since both the numbers are greater than zero. So, m + n = 56 ....(i) Similarly, (m - n)2 = m2 + n2- 2mn So, m - n = 8 ....(ii) On subtracting equation (ii) from equation (i) , we get, 2n = 48 So, n = 24 So, the value of the smaller number = n = 24
Amit age after 12 years will be 3 times his age 4 years back. What is the present age of Amit?
Sum of the present ages of A, B, C and D is 50 years. After 5 years ratio of their ages is 5:4:3:2. What is C’s present age?
The average of present ages of 'Anna', 'Bob', and 'Charlie' is 20 years. Three years ago, the average of ages of 'Bob', 'Charlie', and 'David' was 15 ye...
At present, Naveen is six years younger than Mohit. Mohit’s age fifteen years hence will be equal to thrice that of Naveen three years ago. What w...
The average age of 66(2/3)% of the number of children in a group is 13 years. The average age of all the children in the group is 14.5 years. What is t...
Sum of the present ages of A, B, C and D is 72 years. After 3 years ratio of their ages is 5:4:3:2. What is C’s present age?
A is younger than B by 5 years. If the ratio of A and B ages is 6:7 respectively, then find the age of A.
At present Meena is eight times her daughter’s age. Eight years from now, the ratio of the ages of Meena and her daughter will be 9 : 2 respective...
The ratio of the ages of A, B and C, 5 years ago, was 4 : 5 : 7. The sum of their present ages is 135 years. What will be the sum of the ages (in years...