Question

The the ages of Suman and neelam are in the ratio 3"4.4 years ago,their ages were in the ratio 5:7.find their ages of a two digit number differ by 3.if the digit are interchanged,and the resulting numberbis added to the original number.we get 143 .what can be the orginal number be?​

Answer 1

Answer: SUMAN AGE=24

NEELAM AGE 32

Step-by-step explanation: LET THE COMMON AGE BE X

SO, SUMAN'S PRESENT AGE=3X

NEELAM'S PRESENT AGE=4X

NOW,

THEIR AGE 4 YEARS AGO

SUMAN'S AGE= 3X-4

NEELAM'S AGE=4X-4

ACCORDING TO THE QUESTION

3X-4:4X-4=5:7

BY CROSS MULTIPLICATION

5(4X-4)=7(3X-4)

20X-20=21X-28

21X-20X=-20+28

X=8

NOW,

SUMAN'S PRESENT AGE=3X

=3×8

=24

NEELAM'S PRESENT AGE=4X

=4×8

=32

NOTE:THIS IS THE ANSWER TO YOUR FIRST PART