Question

1.
2
Ajoint family earns Rs 12,51,230 every month. Find its annual income.
60 - 15.5 – 3 x 15+ 20.05
Product of 2 numbers is 22,26,048. If one of numbers is 1122 Find​

Answer 1

As we need two consecutive integers, let us suppose that, these
are
x
and
x
+
1
,
where,
x
and
(
x
+
1
)
<
0
.
By what is given,
x
(
x
+
1
)
=
1122
.
∴
x
2
+
x
=
1122
.
Multiplying by
4
,
we get,
4
x
2
+
4
x
=
4488
.
Completing the square, we have,
4
x
2
+
4
x
+
1
=
4489
.
(
2
x
+
1
)
2
=
67
2
.
2
x
+
1
=
±
67
.
∵
x
<
0
,
&
,
(
x
+
1
)
<
0
;
∴
x
+
(
x
+
1
)
=
2
x
+
1
<
0
.
∴
2
x
+
1
=
−
67
⇒
2
x
=
−
67
−
1
=
−
68
.
∴
x
=
−
34
,
an