Question

By elimination mother caluculate the question Below
Three years ago juma was three times as old as Ali in two years time their sum of their ages will be 62 determine their present ages

Answer 1

Step-by-step explanation:

Let the present age of Juma be 'j'.

Let the present age of Ali be 'a'.

Case 1:

j-3 = 3(a-3)________[j-3 and a-3 are ages of Juma and Ali 3 years ago.]

So,

j-3 = 3a-9

3a-j = 9-3

3a-j = 6_____________eq.1

Case 2:

(j+2)+(a+2) = 62__________[j+2 and a+2 are the ages of Jama and Ali 2 years later.]

So,

j+a+4 = 62

a+j = 58____________eq.2

Adding eq.1&2,

eq.1..............3a-j = 6

eq.2...............a+j = 58

__________

4a =64

a =16

From eq.2,

a+j = 58

j = 58-16

j = 42

Therefore,

Present ages of Ali and Juma are 16 yrs and 42 yrs respectively.