Question

at present my age is 7 more than a square number and 6 less than the immediate square square number in how many years will be 80

A.61 years
B.43 years
c.76 years
D.37 years
E.None​

Answer 1

Given:

At present my age is 7 more than a square number and 6 less than the immediate square number

To find:

In how many years will be 80

Solution:

Let the number be x

then the age in the first case will be:

x²+7

whereas the age as per the second case will be:

(x+1)²-6

But in both cases the age must be the same;

• x²+7 = (x+1)²-6
• x²+7 = x²+1+2x-6
• 2x = 12
• x = 6

so the present age is given by:

• x²+7
• 6²+7
• 36+7
• 43 years

So,

there must be 37 more years to be 80 years old.

In 37 years the age will be 80