Question

24. The difference between two numbers is 538 and
26% of the bigger number is 22% less than the
smaller number. Find the sum of the two numbers.
(1) 888
(2) 954
(3) 1076
(4). 1154
(5) 1244​

Answer 1

Answer:

1154 is answer it may help you

Answer 2

❥${\underline{\underline{\huge{\mathbb{QUESTION:-}}}}}$

The difference between two numbers is 538 and 26% of the bigger number is 22% less than the smaller number. Find the sum of the two numbers.

❥${\underline{\underline{\huge{\mathbb{SOLUTION:-}}}}}$

• Given:- The difference between two numbers is 538 and 26% of the bigger number is 22% less than the smaller number.

Consider,

Bigger number = x

Smaller number=y

According to the question,

x - y = 538

→ x = 538+y..............(i)

★ 26% of bigger number,

${\bold{x×\frac{26}{100}}}$

${\bold{→\frac{26x}{100}}}$

★ 22% less than the smaller number,

${\bold{y-y×\frac{26}{100}}}$

${\bold{→\frac{78y}{100}}}$

According to the question,

${\bold{\frac{26x}{100}}}$ =${\bold{\frac{78y}{100}}}$

→ 26x = 78y

†Putting x = 538+y †

→26(538+y)=78y

→13988+26y = 52y

→y = 269

✞Putting y = 269 in (i) no. equation✞

x = 538+y

→x = 538+269

→x = 807

So the sum of two numbers =

(807+269)

=1076

❥${\underline{\underline{\huge{\mathbb{ANSWER:-}}}}}$

The sum of two numbers is 1076.