Question

Three years ago kajal's age was 2 years more then the 4 times the age of her son , 6 year hence kajal's age will be 6 year more then thrice the age of her son how many years from now will be the sum of their ages will be 140 years ​

Answer 1

HI 8i5223!

Step-by-step explanation:

LET THEIR AGES 3 YEARS AGO BE

KAJAL'S= 4X+2

KAJAL'S SON=X

(THIS IS DESCRIBED IN QUESTION)

SO THEIR PRESENT AGES WILL AUTOMATICALLY BE

KAJAL'S PRESENT AGE=4X+2+3

KAJAL'S SON'S PRESENT AGE=X+3

• GIVEN IN QUESTION-6 YEARS FROM PRESENT THEIR AGES WILL ADD UPTO 140
• WEHAVE TO FIND THEIR PRESENT AGES

AFTER 6 YEARS THEIR AGES WILL AUTOMATICALLY BECOME:

KAJAL'S AGE AFTER 6 YEARS =4X+2+3+6

KAJAL'S SON'S AGE AFTER 6 YEARS =X+3+6

SO WE KNOW (AS GIVEN IN QUESTION)THAT

(4X+2+3+6)+( X+3+6)=140 (IT IS GIVEN)

• HERE ADD ONLY LIKE TERMS

THEREFORE, 5X+20=140

• SHIFTING 20 TO R.H.S

5X=140-20

5X=120

• SHIFTING 5 TO R.H.S

X= 120

5

X=24

• NOW LETS PUT THE VALUES

KAJAL'S PRESENT AGE =4X+2+3

4×24+2+3=101 YEARS

KAJAL'S SON'S PRESENT AGE =24+3=27

VERIFICATION:

KAJAL'S AGE AFTER 6 YEARS=101+6=107

KAJAL'S SON'S AGE AFTER 6 YEARS=27+6=33

GIVEN IN QUESTION SUM OF AGES OF BOTH AFTER 6 YEARS =140

SO, 107+33=140 ( AS GIVEN IN QUESTION)

• HENCE IT IS VERIFIED
• REGARDS@THANKS
• BY-THEVIBHANSHU
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