CCT QUESTION "A father told his son to play a game which is as below ,let your present age be 'x 'years , and your mother is 10 years older than twice of your age and I am 9 years older than your mother ,if after 5 years the sum of ages of all of us will be 89 years then answer the following questions (a) what is age of mother? (b) what is the age of father? (c) which concept will you use in finding the age of the son ? (d) find the present age of the son? (e) what is the present age of the father?
Answers
Step-by-step explanation:
Given Question:-
CCT QUESTION "A father told his son to play a game which is as below ,let your present age be 'x 'years , and your mother is 10 years older than twice of your age and I am 9 years older than your mother ,if after 5 years the sum of ages of all of us will be 89 years then answer the following questions (a) what is age of mother? (b) what is the age of father? (c) which concept will you use in finding the age of the son ? (d) find the present age of the son? (e) what is the present age of the father?
To find:-
(a) what is age of mother?
(b) what is the age of father?
(c) which concept will you use in finding the age of the son ?
(d) find the present age of the son?
(e) what is the present age of the father?
Solution:-
Let Son present age be "x" years
Present age of Mother = 10 years older than twice Son age=>(2x+10) years
Present age of Father = 9 years older than mother
=>(2x+10+9) years
=>(2x+19) years
After 5 years
Son age = (x+5) years
Son mother's age = (2x+10)+5 = (2x+15) years
Son father's age = (2x+19)+5 = (2x+24) years
Sum of all ages after 5 years=89 years
(x+5)+(2x+15)+(2x+24) = 89
=>(x+2x+2x)+(5+15+24) = 89
=>5x+44 = 89
=>5x = 89-44
=>5x = 45
=>x = 45/5
=>x = 9
The age of son = 9 years
The age of mother = 2x+10
= 2(9)+10
= 18+10
Mother's age =28 years
Father's age = 28+9 = 37 years
Answer:-
a)The age of mother =(2x+10) years = 28 years
b)The age of father =(2x+19) years = 37 years
c)Say the unknown quantity as x and writing the remaining them and constructing the linear equation
d)The present age of Son = 9 years
e)Present age of father = 37 years
Check:-
After 5 years their ages will be
Son's age = 9+5 = 14 years
Father's age = 37+5 = 42 years
Mother's age = 28+5 = 33 years
Sum of all ages = 14+42+33 = 89 years
Verified the given relations
Answer:
a. 33 yrs.
b. 42 yrs.
c. mother's age - 33=33-5=28-10=18/2=9+5=14 yrs.
d. 9 yrs.
e. present age of father = 42-5=37.
Step-by-step explanation:
hope it helps,
please mark me as the brainliest and if you mark me as the brainliest you will get 25 percent of your points,
please click on thanks.